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2026-01-01
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.</p>
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<p>The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.</p>
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<h2>What is the LCM of 18 and 48</h2>
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<h2>What is the LCM of 18 and 48</h2>
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<p>The LCM<a>of</a>18 and 48 is the lowest<a>number</a>that divides both 18 and 48 without leaving any<a>remainder</a>. The LCM of 18 and 48 is 144. </p>
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<p>The LCM<a>of</a>18 and 48 is the lowest<a>number</a>that divides both 18 and 48 without leaving any<a>remainder</a>. The LCM of 18 and 48 is 144. </p>
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<h2>How to find the LCM of 18 and 48?</h2>
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<h2>How to find the LCM of 18 and 48?</h2>
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<h3>LCM of 18 and 48 using Division method:</h3>
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<h3>LCM of 18 and 48 using Division method:</h3>
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<p>In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.</p>
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<p>In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.</p>
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<p>2 divides 18 and 48, leaving 9,24</p>
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<p>2 divides 18 and 48, leaving 9,24</p>
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<p>2 divides 24 and not 9, leaving 12,9</p>
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<p>2 divides 24 and not 9, leaving 12,9</p>
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<p>3 divides 12 and 9, leaving 4,3</p>
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<p>3 divides 12 and 9, leaving 4,3</p>
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<p>3 divides 3 and not 4, leaving 1,4</p>
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<p>3 divides 3 and not 4, leaving 1,4</p>
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<p>4 divides 4 leaving 1</p>
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<p>4 divides 4 leaving 1</p>
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<p>LCM = 4 × 2 × 3 × 3= 144. </p>
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<p>LCM = 4 × 2 × 3 × 3= 144. </p>
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<h3>LCM of 18 and 48 using Listing multiples:</h3>
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<h3>LCM of 18 and 48 using Listing multiples:</h3>
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<p>We write the multiples of both numbers till we find the common one.</p>
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<p>We write the multiples of both numbers till we find the common one.</p>
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<p>Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162…</p>
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<p>Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162…</p>
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<p>Multiples of 48: 48, 96, 144, 192…</p>
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<p>Multiples of 48: 48, 96, 144, 192…</p>
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<p>The<a>common multiple</a>is 30. So, the LCM of 18 and 48 is 144. </p>
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<p>The<a>common multiple</a>is 30. So, the LCM of 18 and 48 is 144. </p>
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<h2>LCM of 18 and 48 using prime factorization:</h2>
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<h2>LCM of 18 and 48 using prime factorization:</h2>
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<p>We part each number into divisors and select the highest<a>powers</a>of all the prime<a>factors</a>.</p>
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<p>We part each number into divisors and select the highest<a>powers</a>of all the prime<a>factors</a>.</p>
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<p>18= 2×3×3</p>
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<p>18= 2×3×3</p>
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<p>48= 2×2×2×2 × 3×3</p>
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<p>48= 2×2×2×2 × 3×3</p>
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<p>LCM = 24 × 32= 144. </p>
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<p>LCM = 24 × 32= 144. </p>
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<h2>Common Mistakes and How to Avoid Them in LCM of 18 and 48</h2>
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<h2>Common Mistakes and How to Avoid Them in LCM of 18 and 48</h2>
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<p>While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them</p>
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<p>While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Given that the LCM of 18 and another number X is 144. Find the value of X.</p>
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<p>Given that the LCM of 18 and another number X is 144. Find the value of X.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>X=16. </p>
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<p>X=16. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The LCM of 18 and X = 144</p>
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<p>The LCM of 18 and X = 144</p>
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<p>Factors of 18 = 2×3×3</p>
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<p>Factors of 18 = 2×3×3</p>
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<p>LCM= 24 × 32 = 144</p>
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<p>LCM= 24 × 32 = 144</p>
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<p>X= 24 =16</p>
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<p>X= 24 =16</p>
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<p>X=16. </p>
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<p>X=16. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>Solve the following expression using LCM of 18 and 48: 5/18 + 7/48</p>
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<p>Solve the following expression using LCM of 18 and 48: 5/18 + 7/48</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p> LCM(18,48)=144 </p>
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<p> LCM(18,48)=144 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>5/18 = 5x8/144 =40/144 , 7/48=3 x 7/144 =21/144 </p>
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<p>5/18 = 5x8/144 =40/144 , 7/48=3 x 7/144 =21/144 </p>
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<p>Add the fractions:</p>
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<p>Add the fractions:</p>
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<p>40/144 + 21/144 = 61/144 </p>
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<p>40/144 + 21/144 = 61/144 </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Verify the prime factorization of LCM(3,10) using their prime factors.</p>
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<p>Verify the prime factorization of LCM(3,10) using their prime factors.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p> 3 =3 , 10= 2 × 5</p>
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<p> 3 =3 , 10= 2 × 5</p>
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<p>LCM= 2 × 3 × 5= 30.</p>
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<p>LCM= 2 × 3 × 5= 30.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>Solve the system of equations: x+y=66 and LCM(x, y)=144, find the value of x and y.</p>
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<p>Solve the system of equations: x+y=66 and LCM(x, y)=144, find the value of x and y.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The LCM of x and y is 144. The pairs that can be possible are : </p>
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<p>The LCM of x and y is 144. The pairs that can be possible are : </p>
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<p>(18,48);(24,36)</p>
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<p>(18,48);(24,36)</p>
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<p>We need a pair whose sum should be 66</p>
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<p>We need a pair whose sum should be 66</p>
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<p>18+48=66</p>
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<p>18+48=66</p>
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<p>So, x=18 and y=48. </p>
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<p>So, x=18 and y=48. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>x=18 and y=48.</p>
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<p>x=18 and y=48.</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>Find two positive integers whose LCM is 144 and whose sum is minimized.</p>
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<p>Find two positive integers whose LCM is 144 and whose sum is minimized.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p> the numbers are 24 and 36. </p>
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<p> the numbers are 24 and 36. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p> The factor pairs of 144 are:</p>
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<p> The factor pairs of 144 are:</p>
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<p>(18,48), (24,36), etc</p>
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<p>(18,48), (24,36), etc</p>
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<p>Among the pairs, the smallest sum will be:</p>
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<p>Among the pairs, the smallest sum will be:</p>
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<p>24+36=60</p>
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<p>24+36=60</p>
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<p>So, the numbers are 24 and 36 </p>
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<p>So, the numbers are 24 and 36 </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQ’s on LCM of 18 and 48</h2>
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<h2>FAQ’s on LCM of 18 and 48</h2>
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<h3>1.What is the GCF of 12 and 100?</h3>
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<h3>1.What is the GCF of 12 and 100?</h3>
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<p> The GCF of 12 and 100 is 4. It is the largest number, divides the two numbers without leaving a remainder. </p>
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<p> The GCF of 12 and 100 is 4. It is the largest number, divides the two numbers without leaving a remainder. </p>
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<h3>2.How many distinct prime factors does 36 have?</h3>
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<h3>2.How many distinct prime factors does 36 have?</h3>
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<p> The two factors of 36 are 2 and 3. The two prime factors of a number are the factors which are prime numbers. </p>
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<p> The two factors of 36 are 2 and 3. The two prime factors of a number are the factors which are prime numbers. </p>
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<h3>3.What are the first five composite numbers?</h3>
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<h3>3.What are the first five composite numbers?</h3>
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<p>Composite numbers are the numbers that have factors more than 2. The first five numbers are 4,6,8,9,10. </p>
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<p>Composite numbers are the numbers that have factors more than 2. The first five numbers are 4,6,8,9,10. </p>
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<h3>4.What is the smallest odd prime number?</h3>
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<h3>4.What is the smallest odd prime number?</h3>
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<p> The smallest odd prime number is 3. A prime number is the number that has only two factors. </p>
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<p> The smallest odd prime number is 3. A prime number is the number that has only two factors. </p>
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<h3>5.How many multiples are there between 10 and 250?</h3>
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<h3>5.How many multiples are there between 10 and 250?</h3>
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<p>The multiples between 10 and 250 are 60. Multiples are the products which are found after multiplying the numbers. </p>
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<p>The multiples between 10 and 250 are 60. Multiples are the products which are found after multiplying the numbers. </p>
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<h3>Important glossaries for LCM of 18 and 48</h3>
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<h3>Important glossaries for LCM of 18 and 48</h3>
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<ul><li><strong>Co-prime:</strong>two numbers that have only one number that is 1 as their common factor. For example, 8 and 15 are co-prime numbers.</li>
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<ul><li><strong>Co-prime:</strong>two numbers that have only one number that is 1 as their common factor. For example, 8 and 15 are co-prime numbers.</li>
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</ul><ul><li><strong>Even Number:</strong>A natural number is divisible by 2. For example, 2,4,68,10 etc.</li>
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</ul><ul><li><strong>Even Number:</strong>A natural number is divisible by 2. For example, 2,4,68,10 etc.</li>
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</ul><ul><li><strong>Prime Factorization:</strong>The process of parting down a number into its prime factors is called Prime Factorization. For example, prime factorization of 24 = 2 × 2 × 2 × 3. </li>
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</ul><ul><li><strong>Prime Factorization:</strong>The process of parting down a number into its prime factors is called Prime Factorization. For example, prime factorization of 24 = 2 × 2 × 2 × 3. </li>
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</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>
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<p>: She loves to read number jokes and games.</p>