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2026-01-01
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2026-02-28
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<p>303 Learners</p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>January 16, 2026</strong></p>
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<p>LCM is a common multiple, the smallest value between the numbers 7 and 8. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.</p>
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<p>LCM is a common multiple, the smallest value between the numbers 7 and 8. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.</p>
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<h2>What is the LCM of 7 and 8?</h2>
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<h2>What is the LCM of 7 and 8?</h2>
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<h3>LCM of 7 and 8 Using Listing the Multiples</h3>
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<h3>LCM of 7 and 8 Using Listing the Multiples</h3>
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<p><strong>Step 1:</strong>Write down the multiples of the<a>numbers</a>. Don’t stop too early.</p>
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<p><strong>Step 1:</strong>Write down the multiples of the<a>numbers</a>. Don’t stop too early.</p>
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<p>Multiples of 7 = 7,6,9,12,18,21,28,35,42,49,56,…</p>
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<p>Multiples of 7 = 7,6,9,12,18,21,28,35,42,49,56,…</p>
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<p>Multiples of 8 = 8, 16,24,32,40,48,56,…</p>
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<p>Multiples of 8 = 8, 16,24,32,40,48,56,…</p>
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<p><strong>Step 2: </strong>Find the smallest number common between the written multiples of 3 and 8</p>
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<p><strong>Step 2: </strong>Find the smallest number common between the written multiples of 3 and 8</p>
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<p>The smallest<a>common multiple</a>is 56</p>
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<p>The smallest<a>common multiple</a>is 56</p>
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<p>Thus, LCM(7,8) = 56 </p>
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<p>Thus, LCM(7,8) = 56 </p>
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<h3>LCM of 7 and 8 Using Prime Factorization</h3>
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<h3>LCM of 7 and 8 Using Prime Factorization</h3>
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<p><strong>Step 1:</strong>factorize the numbers into its prime<a>factors</a> </p>
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<p><strong>Step 1:</strong>factorize the numbers into its prime<a>factors</a> </p>
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<p>7 = 7×1</p>
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<p>7 = 7×1</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><strong>Step 2:</strong>find the highest<a>powers</a>of the factors of 7 and 8</p>
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<p><strong>Step 2:</strong>find the highest<a>powers</a>of the factors of 7 and 8</p>
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<p><strong>Step 3:</strong>Multiply the highest powers </p>
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<p><strong>Step 3:</strong>Multiply the highest powers </p>
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<p>LCM(7,8) = 56</p>
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<p>LCM(7,8) = 56</p>
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<h3>LCM of 7 and 8 Using Division Method</h3>
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<h3>LCM of 7 and 8 Using Division Method</h3>
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<ul><li>Write the numbers 7,8 in a row </li>
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<ul><li>Write the numbers 7,8 in a row </li>
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</ul><ul><li>Divide them by their common prime factors, if there is one</li>
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</ul><ul><li>Divide them by their common prime factors, if there is one</li>
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</ul><ul><li>Carry forward the numbers that are left undivided by the previously chosen factor</li>
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</ul><ul><li>Carry forward the numbers that are left undivided by the previously chosen factor</li>
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</ul><ul><li>Continue dividing until the<a>remainder</a>is ‘1’ </li>
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</ul><ul><li>Continue dividing until the<a>remainder</a>is ‘1’ </li>
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</ul><ul><li>Multiply the divisors to find the LCM</li>
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</ul><ul><li>Multiply the divisors to find the LCM</li>
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</ul><ul><li>LCM(7,8) = 56. </li>
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</ul><ul><li>LCM(7,8) = 56. </li>
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</ul><h2>Common Mistakes and how to avoid them while finding the LCM of 7 and 8</h2>
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</ul><h2>Common Mistakes and how to avoid them while finding the LCM of 7 and 8</h2>
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<p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 7 and 8. Try to avoid them. </p>
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<p>Listed here are a few mistakes that one can commit when trying to find the LCM of the numbers 7 and 8. Try 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 7 and 8 are multiplied together, what percentage of this product is their LCM?</p>
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<p>If 7 and 8 are multiplied together, what percentage of this product is their LCM?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>7×8=56</p>
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<p>7×8=56</p>
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<p>The LCM of 7 and 8 is also 56.</p>
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<p>The LCM of 7 and 8 is also 56.</p>
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<p>Therefore, the percentage is:</p>
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<p>Therefore, the percentage is:</p>
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<p>LCM/7×8×100=56/56×100=100% </p>
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<p>LCM/7×8×100=56/56×100=100% </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Percentage of the product of 7 and 8 is their LCM is 100%. </p>
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<p>Percentage of the product of 7 and 8 is their LCM is 100%. </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>Simplify the sum of 1/7+ 1/8 .</p>
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<p>Simplify the sum of 1/7+ 1/8 .</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>To add the fractions, we need the LCM of 7 and 8 to find a common denominator. The LCM of 7 and 8 is 56.</p>
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<p>To add the fractions, we need the LCM of 7 and 8 to find a common denominator. The LCM of 7 and 8 is 56.</p>
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<p>1/7+1/8=8/56+7/56=15/56 </p>
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<p>1/7+1/8=8/56+7/56=15/56 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>This is the simplified fraction of 1/8 and 1/7.</p>
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<p>This is the simplified fraction of 1/8 and 1/7.</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>A yellow bulb is replaced every 7 months and a white bulb is replaced every 8 months. If both of them are replaced today, after how many months will they need to be replaced?</p>
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<p>A yellow bulb is replaced every 7 months and a white bulb is replaced every 8 months. If both of them are replaced today, after how many months will they need to be replaced?</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 7 and 8 is 56. </p>
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<p>The LCM of 7 and 8 is 56. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Both bulbs will need replacement together in 56 months. The LCM of 7 and 8 is 56, which is the smallest common time interval for the given digits. </p>
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<p>Both bulbs will need replacement together in 56 months. The LCM of 7 and 8 is 56, which is the smallest common time interval for the given digits. </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 7 and 8</h2>
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<h2>FAQs on LCM of 7 and 8</h2>
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<h3>1.What is the GCF of 7 and 8?</h3>
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<h3>1.What is the GCF of 7 and 8?</h3>
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<p>Factors of 7 = 1,7</p>
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<p>Factors of 7 = 1,7</p>
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<p>Factors of 8 = 1,2,4,8</p>
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<p>Factors of 8 = 1,2,4,8</p>
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<p>There are no<a>common factors</a>between 7 and 8, therefore, therefore the GFC is 1. </p>
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<p>There are no<a>common factors</a>between 7 and 8, therefore, therefore the GFC is 1. </p>
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<h3>2.What are the factors of 7 and 8?</h3>
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<h3>2.What are the factors of 7 and 8?</h3>
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<p>Factors of 7 are 1,7</p>
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<p>Factors of 7 are 1,7</p>
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<p>Factors of 8 are 1,2,4,8 </p>
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<p>Factors of 8 are 1,2,4,8 </p>
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<p>Common factors of 7 and 8 are just 1. </p>
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<p>Common factors of 7 and 8 are just 1. </p>
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<h3>3.What is the LCM of 4 and 7?</h3>
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<h3>3.What is the LCM of 4 and 7?</h3>
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<p>Multiples of 4 are 4,8,12,16,24,28,… </p>
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<p>Multiples of 4 are 4,8,12,16,24,28,… </p>
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<p>Multiples of 7 are 7,14,21,28,…</p>
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<p>Multiples of 7 are 7,14,21,28,…</p>
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<p>Least common multiple: 28 </p>
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<p>Least common multiple: 28 </p>
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<h3>4.What is the LCM of 7 and 5?</h3>
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<h3>4.What is the LCM of 7 and 5?</h3>
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<p>Multiples of 7 are 7,14,21,28,35,…</p>
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<p>Multiples of 7 are 7,14,21,28,35,…</p>
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<p>Multiples of 5 are 5,10,15,20,25,30,35,…</p>
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<p>Multiples of 5 are 5,10,15,20,25,30,35,…</p>
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<p>Least common multiple= 35 </p>
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<p>Least common multiple= 35 </p>
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<h3>5.What is the LCM of 7,8,5?</h3>
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<h3>5.What is the LCM of 7,8,5?</h3>
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<p>280 is the smallest number that appears commonly on the lists of the numbers 7,8 and 5. </p>
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<p>280 is the smallest number that appears commonly on the lists of the numbers 7,8 and 5. </p>
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<p>LCM (7,8,5)= 280 </p>
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<p>LCM (7,8,5)= 280 </p>
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<h2>Important glossaries for the LCM of 7 and 8</h2>
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<h2>Important glossaries for the LCM of 7 and 8</h2>
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<ul><li><strong>Multiple -</strong>product of a number and a natural integer </li>
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<ul><li><strong>Multiple -</strong>product of a number and a natural integer </li>
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</ul><ul><li><strong>Prime factor -</strong>number one gets after prime factorization any given number </li>
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</ul><ul><li><strong>Prime factor -</strong>number one gets after prime factorization any given number </li>
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</ul><ul><li><strong>Prime factorization -</strong>the process of breaking the number into its prime factors. </li>
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</ul><ul><li><strong>Prime factorization -</strong>the process of breaking the number into its prime factors. </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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<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>