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The Lcm Of 3 And 15

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LCM of 3, 9 and 15 How to Find LCM of 3, 9, 15?
LCM of 3, 9 and 15 How to Find LCM of 3, 9, 15? from www.cuemath.com

What is LCM?

LCM stands for Least Common Multiple. It is the smallest number that is a multiple of two or more given numbers.

How to find the LCM of 3 and 15?

To find the LCM of 3 and 15, we need to list down the multiples of each number and find the smallest number that appears in both lists. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ... Multiples of 15: 15, 30, 45, 60, ... From the lists above, we can see that the smallest number that appears in both lists is 15. Therefore, the LCM of 3 and 15 is 15.

Why is LCM important?

LCM is important in many mathematical operations, such as adding and subtracting fractions with different denominators. It is also used in finding the time taken by two people to do a task together.

What are some tips for finding the LCM?

- List down the multiples of each number until you find a common multiple. - Use the prime factorization method. Find the prime factors of each number and multiply the highest power of each factor together. - Use the ladder method. List down the numbers in a ladder and keep multiplying the numbers until you reach a common multiple.

What are some examples of finding the LCM?

Example 1: Find the LCM of 4 and 6. Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, ... Multiples of 6: 6, 12, 18, 24, 30, 36, ... From the lists above, we can see that the smallest number that appears in both lists is 12. Therefore, the LCM of 4 and 6 is 12. Example 2: Find the LCM of 10, 15, and 20. Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ... Multiples of 15: 15, 30, 45, 60, 75, 90, 105, ... Multiples of 20: 20, 40, 60, 80, 100, ... From the lists above, we can see that the smallest number that appears in all three lists is 60. Therefore, the LCM of 10, 15, and 20 is 60.

Conclusion

In conclusion, the LCM of 3 and 15 is 15. It is important in many mathematical operations and can be found by listing down multiples, using prime factorization, or using the ladder method.

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