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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 26 and 91</h2>
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<h2>What is the LCM of 26 and 91</h2>
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<p>The LCM of 26 and 91 is the lowest<a>number</a>that divides both 26 and 91 without leaving any<a>remainder</a>. The LCM of 26 and 91 is 182.</p>
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<p>The LCM of 26 and 91 is the lowest<a>number</a>that divides both 26 and 91 without leaving any<a>remainder</a>. The LCM of 26 and 91 is 182.</p>
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<h2>How to find the LCM of 26 and 91?</h2>
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<h2>How to find the LCM of 26 and 91?</h2>
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<h3>LCM of 26 and 91 using Division method:</h3>
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<h3>LCM of 26 and 91 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 26 and not 91, leaving 13 and 91</p>
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<p>2 divides 26 and not 91, leaving 13 and 91</p>
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<p>7 divides 91 and not 13 leaving 13 and 13</p>
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<p>7 divides 91 and not 13 leaving 13 and 13</p>
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<p>13 divides 13,13 leaving 1,1</p>
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<p>13 divides 13,13 leaving 1,1</p>
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<p>LCM = 2 × 7 × 13= 182. </p>
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<p>LCM = 2 × 7 × 13= 182. </p>
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<h3>LCM of 26 and 91 using Listing multiples:</h3>
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<h3>LCM of 26 and 91 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 26: 26, 52, 78, 104, 130, 156, 182…</p>
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<p>Multiples of 26: 26, 52, 78, 104, 130, 156, 182…</p>
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<p>Multiples of 91: 91, 182, 273…</p>
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<p>Multiples of 91: 91, 182, 273…</p>
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<p>The<a>common multiple</a>is 182. So, the LCM of 26 and 91 is 182. </p>
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<p>The<a>common multiple</a>is 182. So, the LCM of 26 and 91 is 182. </p>
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<h3>LCM of 26 and 91 using prime factorization:</h3>
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<h3>LCM of 26 and 91 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>26= 2 × 13</p>
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<p>26= 2 × 13</p>
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<p>91= 7 × 13</p>
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<p>91= 7 × 13</p>
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<p>LCM = 2 × 7 × 13= 182. </p>
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<p>LCM = 2 × 7 × 13= 182. </p>
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<h2>Common Mistakes and How to Avoid Them in LCM of 26 and 91</h2>
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<h2>Common Mistakes and How to Avoid Them in LCM of 26 and 91</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>Verify if the relationship LCM (26,91) x GCF(26,91) = 26 × 91 holds.</p>
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<p>Verify if the relationship LCM (26,91) x GCF(26,91) = 26 × 91 holds.</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Step 1: Calculate the LCM and GCF of 26 and 91</p>
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<p>Step 1: Calculate the LCM and GCF of 26 and 91</p>
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<p>LCM (26,91)=182</p>
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<p>LCM (26,91)=182</p>
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<p>GCF(26,91)=13</p>
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<p>GCF(26,91)=13</p>
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<p>Step 2: Verify the relationship:</p>
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<p>Step 2: Verify the relationship:</p>
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<p>LCM(26,91)×GCF(26,91)=182×13=2366</p>
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<p>LCM(26,91)×GCF(26,91)=182×13=2366</p>
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<p>182 × 13 =2366</p>
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<p>182 × 13 =2366</p>
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<p>26 × 91=2366. </p>
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<p>26 × 91=2366. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>The relationship holds true because 2366=2366. </p>
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<p>The relationship holds true because 2366=2366. </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 26 and 91: 1/26 + 1/91</p>
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<p>Solve the following expression using LCM of 26 and 91: 1/26 + 1/91</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 sum of 1/26 and 1/91simplifies to 9/182using the LCM as a common denominator. </p>
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<p> The sum of 1/26 and 1/91simplifies to 9/182using the LCM as a common denominator. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Calculate the LCM of 26 and 91:</p>
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<p>Calculate the LCM of 26 and 91:</p>
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<p>LCM(26,91)=182</p>
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<p>LCM(26,91)=182</p>
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<p>1/26 = 1x7/26 x 7 , 1x2/91x2=2/182</p>
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<p>1/26 = 1x7/26 x 7 , 1x2/91x2=2/182</p>
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<p>Add the fractions:</p>
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<p>Add the fractions:</p>
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<p>7/182 + 2/182 = 9/182 </p>
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<p>7/182 + 2/182 = 9/182 </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>If a contractor works every 26 days and a supplier delivers materials every 91 days, how many times will they meet in 1000 days?</p>
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<p>If a contractor works every 26 days and a supplier delivers materials every 91 days, how many times will they meet in 1000 days?</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(26,91)=182</p>
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<p>LCM(26,91)=182</p>
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<p>Number of meetings = 1000/182 </p>
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<p>Number of meetings = 1000/182 </p>
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<p> = 5 meetings.</p>
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<p> = 5 meetings.</p>
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<p>So, they will meet 5 times. </p>
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<p>So, they will meet 5 times. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>They will meet 5 times in 1000 days because the LCM of their cycles is 182 days, and 1000 divided by 182 gives approximately 5 complete overlaps. </p>
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<p>They will meet 5 times in 1000 days because the LCM of their cycles is 182 days, and 1000 divided by 182 gives approximately 5 complete overlaps. </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 26 and 91</h2>
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<h2>FAQs on LCM of 26 and 91</h2>
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<h3>1.What type of number is 26?</h3>
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<h3>1.What type of number is 26?</h3>
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<h3>2.Are 7 and 11 twin primes?</h3>
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<h3>2.Are 7 and 11 twin primes?</h3>
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<p> No, 7 and 11 are not a pair of<a>twin primes</a>. Twin primes should have an exact difference of 2</p>
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<p> No, 7 and 11 are not a pair of<a>twin primes</a>. Twin primes should have an exact difference of 2</p>
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<h3>3.Are 27 and 72 co-prime?</h3>
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<h3>3.Are 27 and 72 co-prime?</h3>
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<h3>4.What is the LCM and GCF of 26 and 91?</h3>
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<h3>4.What is the LCM and GCF of 26 and 91?</h3>
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<p>The LCM of 26 and 91 is 26= 2 × 13</p>
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<p>The LCM of 26 and 91 is 26= 2 × 13</p>
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<p>91= 7 × 13</p>
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<p>91= 7 × 13</p>
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<p>LCM = 2 × 7 × 13= 182.</p>
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<p>LCM = 2 × 7 × 13= 182.</p>
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<p>The GCF of 26 and 91 is 13. </p>
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<p>The GCF of 26 and 91 is 13. </p>
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<h3>5.Does 91 and 26 belong to the same table, If yes which?</h3>
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<h3>5.Does 91 and 26 belong to the same table, If yes which?</h3>
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<p> Yes, 91 and 26 belong to the same table. They belong to the table of 13.</p>
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<p> Yes, 91 and 26 belong to the same table. They belong to the table of 13.</p>
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<h2>Important glossaries for LCM of 26 and 91</h2>
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<h2>Important glossaries for LCM of 26 and 91</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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<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>