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2026-01-01
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<p>283 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>August 5, 2025</strong></p>
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<p>LCM is a common multiple, the smallest value between the numbers 4 and 12. 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 4 and 12. 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 4 and 12?</h2>
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<h2>What is the LCM of 4 and 12?</h2>
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<h3>LCM of 4 and 12 Using Listing the Multiples</h3>
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<h3>LCM of 4 and 12 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 4 = 4,8,12,16,20,24, …</p>
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<p> - Multiples of 4 = 4,8,12,16,20,24, …</p>
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<p> - Multiples of 12 = 12, 24, 46, …</p>
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<p> - Multiples of 12 = 12, 24, 46, …</p>
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<p> <strong>Step 2: </strong>Find the smallest number common between the written multiples of 4 and 12</p>
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<p> <strong>Step 2: </strong>Find the smallest number common between the written multiples of 4 and 12</p>
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<p> - The smallest<a>common multiple</a>is 12</p>
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<p> - The smallest<a>common multiple</a>is 12</p>
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<p>Thus, LCM(4,12) = 12 </p>
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<p>Thus, LCM(4,12) = 12 </p>
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<h3>LCM of 4 and 12 Using Prime Factorization</h3>
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<h3>LCM of 4 and 12 Using Prime Factorization</h3>
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<p><strong>Step1 :</strong> factorize the numbers into its prime<a>factors</a> </p>
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<p><strong>Step1 :</strong> factorize the numbers into its prime<a>factors</a> </p>
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<p>4 = 2 × 2</p>
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<p>4 = 2 × 2</p>
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<p>12 = 2 × 2 × 4</p>
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<p>12 = 2 × 2 × 4</p>
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<p><strong>Step 2:</strong>find the highest<a>powers</a>of the factors of 4 and 12</p>
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<p><strong>Step 2:</strong>find the highest<a>powers</a>of the factors of 4 and 12</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(4,12) = 12</p>
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<p>LCM(4,12) = 12</p>
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<h3>LCM of 4 and 12 Using Division Method</h3>
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<h3>LCM of 4 and 12 Using Division Method</h3>
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<ul><li>Write the numbers 4,12 in a row </li>
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<ul><li>Write the numbers 4,12 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(4,12) = 12 </li>
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</ul><ul><li>LCM(4,12) = 12 </li>
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</ul><h2>Common Mistakes and how to avoid them while finding the LCM of 4 and 12</h2>
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</ul><h2>Common Mistakes and how to avoid them while finding the LCM of 4 and 12</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 4 and 12. 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 4 and 12. 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>The LCM of 4 and 12 is 12. What is the percentage increase from the smaller number to the LCM?</p>
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<p>The LCM of 4 and 12 is 12. What is the percentage increase from the smaller number to the 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>Smaller number = 4, LCM = 12</p>
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<p>Smaller number = 4, LCM = 12</p>
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<p>Percentage increase = 12-44×100=200% </p>
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<p>Percentage increase = 12-44×100=200% </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The LCM is 200% larger than the smaller number (4). </p>
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<p>The LCM is 200% larger than the smaller number (4). </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>Employee A and employee B work different shifts. A works every 4 days, and B every 12 days. If they both work on the same day today, when will they next work together?</p>
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<p>Employee A and employee B work different shifts. A works every 4 days, and B every 12 days. If they both work on the same day today, when will they next work together?</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 4 and 12 is 12. </p>
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<p>The LCM of 4 and 12 is 12. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p> Both employees will work together again in 12 days. The LCM of 4 and 12 is 12, which is the smallest time interval between the digits. </p>
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<p> Both employees will work together again in 12 days. The LCM of 4 and 12 is 12, which is the smallest time interval between the digits. </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>Use the relationship LCM(a,b)=a×b/GCF(a,b) to find the LCM of 4 and 12.</p>
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<p>Use the relationship LCM(a,b)=a×b/GCF(a,b) to find the LCM of 4 and 12.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>GCD(4,12)=4</p>
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<p>GCD(4,12)=4</p>
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<p>LCM(4,12)=4×12/4=12 </p>
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<p>LCM(4,12)=4×12/4=12 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p> The formula LCM(a,b)=a×b/GCF(a,b), gives a quick way to calculate the LCM by using the greatest common divisor. </p>
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<p> The formula LCM(a,b)=a×b/GCF(a,b), gives a quick way to calculate the LCM by using the greatest common divisor. </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 4 and 12</h2>
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<h2>FAQs on LCM of 4 and 12</h2>
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<h3>1.What is the HCF of 4 and 12?</h3>
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<h3>1.What is the HCF of 4 and 12?</h3>
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<p>HCF of 4 and 12 can be found by listing the factors of the numbers → finding the<a>largest common factor</a>from the list of numbers.</p>
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<p>HCF of 4 and 12 can be found by listing the factors of the numbers → finding the<a>largest common factor</a>from the list of numbers.</p>
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<p>Factors of 4: 1,2,4</p>
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<p>Factors of 4: 1,2,4</p>
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<p>Factors of 12: 1,2,3,4,6,12</p>
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<p>Factors of 12: 1,2,3,4,6,12</p>
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<p>HCF (4,12)= 4 </p>
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<p>HCF (4,12)= 4 </p>
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<h3>2.What are the common factors of 4 and 12 ?</h3>
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<h3>2.What are the common factors of 4 and 12 ?</h3>
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<p>Factors of 4: 1,2,4</p>
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<p>Factors of 4: 1,2,4</p>
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<p>Factors of 12: 1,2,3,4,6,12</p>
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<p>Factors of 12: 1,2,3,4,6,12</p>
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<p>Common factors of the numbers: 1,2,4 </p>
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<p>Common factors of the numbers: 1,2,4 </p>
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<h3>3.What is the LCM of 8,4 and 12 ?</h3>
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<h3>3.What is the LCM of 8,4 and 12 ?</h3>
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<p>24 is the smallest number that appears commonly on the lists of the numbers 8,4 and 12. </p>
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<p>24 is the smallest number that appears commonly on the lists of the numbers 8,4 and 12. </p>
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<p>LCM (4,8,12) = 24 </p>
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<p>LCM (4,8,12) = 24 </p>
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<h3>4.How many multiples of 4 are in 12?</h3>
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<h3>4.How many multiples of 4 are in 12?</h3>
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<p>The product of a number and a natural<a>integer</a>is called a multiple. The multiples of 4 up to 12 are just 2, 4 and 8. </p>
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<p>The product of a number and a natural<a>integer</a>is called a multiple. The multiples of 4 up to 12 are just 2, 4 and 8. </p>
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<h3>5.Is 0 a multiple of 4?</h3>
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<h3>5.Is 0 a multiple of 4?</h3>
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<p>The product of a number and a natural integer is a multiple. </p>
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<p>The product of a number and a natural integer is a multiple. </p>
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<p>Yes, any non-zero number is a multiple of 0. </p>
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<p>Yes, any non-zero number is a multiple of 0. </p>
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<h2>Important glossaries for the LCM of 4 and 12</h2>
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<h2>Important glossaries for the LCM of 4 and 12</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>