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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 9 and 11</h2>
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<h2>What is the LCM of 9 and 11</h2>
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<p>The LCM of 9 and 11 is the lowest<a>number</a>that divides both 9 and 11 without leaving any<a>remainder</a>. The LCM of 9 and 11 is 99. </p>
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<p>The LCM of 9 and 11 is the lowest<a>number</a>that divides both 9 and 11 without leaving any<a>remainder</a>. The LCM of 9 and 11 is 99. </p>
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<h3>How to find the LCM of 9 and 11?</h3>
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<h3>How to find the LCM of 9 and 11?</h3>
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<h3>LCM of 9 and 11 using Division method:</h3>
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<h3>LCM of 9 and 11 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>1 divides both 9 and 11</p>
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<p>1 divides both 9 and 11</p>
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<p>9 divided by 9 = 1</p>
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<p>9 divided by 9 = 1</p>
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<p>11 divided by 11 = 1</p>
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<p>11 divided by 11 = 1</p>
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<p>LCM = 9 × 11= 99. </p>
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<p>LCM = 9 × 11= 99. </p>
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<h3>LCM of 9 and 11 using Listing multiples:</h3>
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<h3>LCM of 9 and 11 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 9 : 9,18,27,36,45,54,63,72,81,90,99…</p>
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<p>Multiples of 9 : 9,18,27,36,45,54,63,72,81,90,99…</p>
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<p>Multiples of 11: 11, 22,33,44,55,66,77,88,99…</p>
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<p>Multiples of 11: 11, 22,33,44,55,66,77,88,99…</p>
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<p>The<a>common multiple</a>is 99. So, the LCM of 9 and 11 is 99. </p>
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<p>The<a>common multiple</a>is 99. So, the LCM of 9 and 11 is 99. </p>
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<h3>LCM of 9 and 11 using prime factorization:</h3>
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<h3>LCM of 9 and 11 using prime factorization:</h3>
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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>9= 3 × 3</p>
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<p>9= 3 × 3</p>
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<p>11= 11</p>
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<p>11= 11</p>
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<p>LCM = 11 × 3 × 3 = 99. </p>
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<p>LCM = 11 × 3 × 3 = 99. </p>
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<h2>Common Mistakes and How to Avoid Them in LCM of 9 and 11</h2>
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<h2>Common Mistakes and How to Avoid Them in LCM of 9 and 11</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>If the LCM of 9 and a number x is 99. Find the missing number x.</p>
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<p>If the LCM of 9 and a number x is 99. Find the missing number 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>LCM(a, b) x GCD(a, b)= a × b</p>
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<p>LCM(a, b) x GCD(a, b)= a × b</p>
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<p>Here, a=9, LCM (9,x)=99</p>
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<p>Here, a=9, LCM (9,x)=99</p>
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<p>99=9 × x</p>
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<p>99=9 × x</p>
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<p>99=9x</p>
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<p>99=9x</p>
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<p>x=99/9</p>
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<p>x=99/9</p>
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<p>x=11. </p>
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<p>x=11. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The missing number x is 11, as 99 is the smallest multiple of both 99 and 11. </p>
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<p>The missing number x is 11, as 99 is the smallest multiple of both 99 and 11. </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 : 54/9 + 121/11</p>
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<p>Solve : 54/9 + 121/11</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(9,11)=99</p>
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<p>LCM(9,11)=99</p>
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<p>54/9 = 54 x 11/9 x11=594/99 , 121/11=121x 9/11x9 =1089/99</p>
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<p>54/9 = 54 x 11/9 x11=594/99 , 121/11=121x 9/11x9 =1089/99</p>
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<p>Add the fractions:</p>
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<p>Add the fractions:</p>
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<p>594/99 + 1089/99 = 1683/99 </p>
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<p>594/99 + 1089/99 = 1683/99 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The sum of 5/9and 12/11 simplifies to 163/99. </p>
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<p>The sum of 5/9and 12/11 simplifies to 163/99. </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>Simplify the expression: 5 / LCM(9,11) + 6 / LCM(9,11)</p>
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<p>Simplify the expression: 5 / LCM(9,11) + 6 / LCM(9,11)</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 (9,11) =99</p>
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<p>LCM (9,11) =99</p>
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<p>55/99 + 54/99 </p>
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<p>55/99 + 54/99 </p>
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<p>55+54/99 =109/99 </p>
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<p>55+54/99 =109/99 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The expression 5×LCM(9,11)+6×LCM(9,11) simplifies to 1089. </p>
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<p>The expression 5×LCM(9,11)+6×LCM(9,11) simplifies to 1089. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on LCM of 9 and 11</h2>
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<h2>FAQs on LCM of 9 and 11</h2>
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<h3>1.What is the LCM of 8, 9 and 11?</h3>
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<h3>1.What is the LCM of 8, 9 and 11?</h3>
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<p> By prime factorization,</p>
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<p> By prime factorization,</p>
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<p>8= 2×2×2</p>
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<p>8= 2×2×2</p>
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<p>9=3x3</p>
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<p>9=3x3</p>
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<p>11=11</p>
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<p>11=11</p>
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<p>LCM= 23 × 32 × 11</p>
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<p>LCM= 23 × 32 × 11</p>
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<p>The LCM of 8, 9 and 11 is 792. </p>
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<p>The LCM of 8, 9 and 11 is 792. </p>
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<h3>2.Is 100 a multiple of 6?</h3>
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<h3>2.Is 100 a multiple of 6?</h3>
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<p> multiples of 6 are infinite, but here are the multiples between 6 and 100, 6,12,18,24,30,36,42,48,54,60,66,72,78,83,90 and 96. </p>
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<p> multiples of 6 are infinite, but here are the multiples between 6 and 100, 6,12,18,24,30,36,42,48,54,60,66,72,78,83,90 and 96. </p>
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<h3>3.Is 49 a factor of 7?</h3>
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<h3>3.Is 49 a factor of 7?</h3>
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<p>The smallest prime factor of 49 is 7. So 7 divided 49 without leaving any remainder. </p>
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<p>The smallest prime factor of 49 is 7. So 7 divided 49 without leaving any remainder. </p>
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<h3>4.Are all multiples of 7 odd?</h3>
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<h3>4.Are all multiples of 7 odd?</h3>
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<p>No, because 7 is odd, not all the multiples of 7 are odd. The numbers that can be divided by 2 are even and that cannot be divided are odd. </p>
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<p>No, because 7 is odd, not all the multiples of 7 are odd. The numbers that can be divided by 2 are even and that cannot be divided are odd. </p>
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<h3>5.What is the GCF of 9 and 11?</h3>
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<h3>5.What is the GCF of 9 and 11?</h3>
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<p>The GCF of 9 and 11 is 1. GCF is also called the HCF. The number is the largest common number that divides both 9 and 11 exactly. </p>
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<p>The GCF of 9 and 11 is 1. GCF is also called the HCF. The number is the largest common number that divides both 9 and 11 exactly. </p>
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<h2>Important glossaries for LCM of 9 and 11</h2>
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<h2>Important glossaries for LCM of 9 and 11</h2>
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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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<p>▶</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>