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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 LCM is the least common multiple, a multiple that is lower in value and common in two or more numbers. The LCM of numbers can be used in situations where we have to.</p>
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<p>The LCM is the least common multiple, a multiple that is lower in value and common in two or more numbers. The LCM of numbers can be used in situations where we have to.</p>
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<h2>LCM of 25 and 50</h2>
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<h2>LCM of 25 and 50</h2>
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<p>The LCM<a>of</a>25 and 50 is 50</p>
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<p>The LCM<a>of</a>25 and 50 is 50</p>
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<p>The LCM of<a>numbers</a>can be found using methods like the Listing Method, the Prime Factorization Method, and the Long Division Method. </p>
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<p>The LCM of<a>numbers</a>can be found using methods like the Listing Method, the Prime Factorization Method, and the Long Division Method. </p>
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<h3>LCM of 25 and 50 Using Listing the Multiples</h3>
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<h3>LCM of 25 and 50 Using Listing the Multiples</h3>
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<p>The listing method finds the lowest<a>multiple</a>that is common to both 25 and 50 from the multiples of 25 and 50</p>
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<p>The listing method finds the lowest<a>multiple</a>that is common to both 25 and 50 from the multiples of 25 and 50</p>
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<p>The multiplies of 25 are 25, 50, 75 and so on</p>
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<p>The multiplies of 25 are 25, 50, 75 and so on</p>
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<p>The multiples of 50 are 50, 100, 150 and so on.</p>
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<p>The multiples of 50 are 50, 100, 150 and so on.</p>
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<p>The LCM of 25 and 50 is 50</p>
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<p>The LCM of 25 and 50 is 50</p>
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<h3>LCM of 25 and 50 Using Prime Factorization</h3>
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<h3>LCM of 25 and 50 Using Prime Factorization</h3>
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<p>To find the LCM, prime factorize 25 and 50</p>
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<p>To find the LCM, prime factorize 25 and 50</p>
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<p>The<a>prime factors</a>of 25 is 5 → 51</p>
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<p>The<a>prime factors</a>of 25 is 5 → 51</p>
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<p>The prime factors of 50 is 2, 5 → 2 × 52</p>
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<p>The prime factors of 50 is 2, 5 → 2 × 52</p>
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<p>The LCM of 25 and 50 is 21 × 52 = 2 × 5 × 5 = 25 </p>
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<p>The LCM of 25 and 50 is 21 × 52 = 2 × 5 × 5 = 25 </p>
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<h3>The LCM of 25 and 50 using the Division Method</h3>
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<h3>The LCM of 25 and 50 using the Division Method</h3>
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<p>Write the numbers 25 and 50 in a row</p>
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<p>Write the numbers 25 and 50 in a row</p>
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<p>Find the number that can divide both 25 and 50</p>
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<p>Find the number that can divide both 25 and 50</p>
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<p>Continue dividing the numbers until you get 1</p>
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<p>Continue dividing the numbers until you get 1</p>
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<p>To get the LCM, multiply the divisors.</p>
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<p>To get the LCM, multiply the divisors.</p>
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<p>LCM of 25 and 50 = 5 × 5 × 2 = 50 </p>
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<p>LCM of 25 and 50 = 5 × 5 × 2 = 50 </p>
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<h2>Common Mistakes and How to Avoid Them While finding the LCM of 25 and 50</h2>
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<h2>Common Mistakes and How to Avoid Them While finding the LCM of 25 and 50</h2>
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<p>Given below are the few mistakes that you can commit while trying to find the LCM of 25 and 50. Tips to avoid them are also given: </p>
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<p>Given below are the few mistakes that you can commit while trying to find the LCM of 25 and 50. Tips to avoid them are also given: </p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>The HCF between 25 and 50 is 5. What will be the LCM of 25 and 50 when prime factorization is used?</p>
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<p>The HCF between 25 and 50 is 5. What will be the LCM of 25 and 50 when prime factorization is used?</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 25 and 50 using the prime factorization method is 50 </p>
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<p> The LCM of 25 and 50 using the prime factorization method is 50 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To find the LCM of 25 and 50 using the prime factorization, list down the prime factors of 25 and 50. From the prime factors of each number, take the prime factor with the highest power, that is 21 and 52. Now multiply these to get 60 as the LCM </p>
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<p>To find the LCM of 25 and 50 using the prime factorization, list down the prime factors of 25 and 50. From the prime factors of each number, take the prime factor with the highest power, that is 21 and 52. Now multiply these to get 60 as the LCM </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>The LCM of 25 and b is 50. What is the value of ‘b’?</p>
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<p>The LCM of 25 and b is 50. What is the value of ‘b’?</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 value of ‘b’ is 50 </p>
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<p>The value of ‘b’ is 50 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p> We know that the LCM of (25,b) is 50</p>
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<p> We know that the LCM of (25,b) is 50</p>
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<p>According to the LCM formula, LCM(a, b) = a × b/HCF(a, b)</p>
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<p>According to the LCM formula, LCM(a, b) = a × b/HCF(a, b)</p>
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<p>50 = 25 × b/HCF(25,b)</p>
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<p>50 = 25 × b/HCF(25,b)</p>
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<p>B = 50 x HCF(25,b)/25</p>
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<p>B = 50 x HCF(25,b)/25</p>
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<p>b=50 </p>
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<p>b=50 </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>The LCM of a and b is 50 and their HCF is 5, what is the product of a and b?</p>
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<p>The LCM of a and b is 50 and their HCF is 5, what is the product of a and b?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Answer : 1250 </p>
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<p>Answer : 1250 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>LCM(a,b)×HCF(a,b) =a×b </p>
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<p>LCM(a,b)×HCF(a,b) =a×b </p>
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<p>LCM = 50</p>
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<p>LCM = 50</p>
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<p>HCF = 25</p>
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<p>HCF = 25</p>
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<p>50 × 25 = 50 × 25=1250</p>
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<p>50 × 25 = 50 × 25=1250</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Least Common Multiple of 25 and 50</h2>
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<h2>FAQs on Least Common Multiple of 25 and 50</h2>
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<h3>1.Is multiple of 25 and 50 always the LCM of 25 and 50?</h3>
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<h3>1.Is multiple of 25 and 50 always the LCM of 25 and 50?</h3>
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<p> The LCM of 25 and 50 is 50. The multiple of 25 and 50 will always be their LCM. </p>
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<p> The LCM of 25 and 50 is 50. The multiple of 25 and 50 will always be their LCM. </p>
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<h3>2.Why can’t we say that the LCM of 25 and 50 is not 25?</h3>
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<h3>2.Why can’t we say that the LCM of 25 and 50 is not 25?</h3>
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<p>25 can’t be an LCM because 50 is not a multiple of 25. To find the LCM of 25 and 50 we need to list their multiplies and find the common multiple that is lower in value. </p>
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<p>25 can’t be an LCM because 50 is not a multiple of 25. To find the LCM of 25 and 50 we need to list their multiplies and find the common multiple that is lower in value. </p>
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<h3>3.What is the LCM formula using the HCF?</h3>
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<h3>3.What is the LCM formula using the HCF?</h3>
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<p>The method below elaborates on how to derive the LCM using HCF (Highest common factor). An example is also attached to check the validity. </p>
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<p>The method below elaborates on how to derive the LCM using HCF (Highest common factor). An example is also attached to check the validity. </p>
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<p>LCM (a, b)= a×b/HCF(a, b) </p>
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<p>LCM (a, b)= a×b/HCF(a, b) </p>
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<h3>4.Is the LCM of 25 and 50 always a multiple of 25?</h3>
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<h3>4.Is the LCM of 25 and 50 always a multiple of 25?</h3>
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<p>Yes, the HCF of 25 and 50 is always a multiple of 25. A multiple is a number we get when the given number gets multiplied by another. In this case, when we multiply 25 by 2 we get 50 </p>
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<p>Yes, the HCF of 25 and 50 is always a multiple of 25. A multiple is a number we get when the given number gets multiplied by another. In this case, when we multiply 25 by 2 we get 50 </p>
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<h2>Important Glossaries for LCM of 25 and 50</h2>
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<h2>Important Glossaries for LCM of 25 and 50</h2>
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<ul><li><strong>Multiple:</strong>A number and any integer multiplied. </li>
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<ul><li><strong>Multiple:</strong>A number and any integer multiplied. </li>
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</ul><ul><li><strong>Prime Factor:</strong>A natural number (except 1) that has factors that are one and itself.</li>
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</ul><ul><li><strong>Prime Factor:</strong>A natural number (except 1) that has factors that are one and itself.</li>
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</ul><ul><li><strong>Prime Factorization:</strong>The process of breaking down a number into its prime factors is called Prime Factorization. </li>
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</ul><ul><li><strong>Prime Factorization:</strong>The process of breaking down a number into its prime factors is called Prime Factorization. </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>