LCM of 5 and also 15 is the smallest number among all widespread multiples of 5 and 15. The initially few multiples of 5 and also 15 are (5, 10, 15, 20, 25, 30, . . . ) and also (15, 30, 45, 60, 75, 90, 105, . . . ) respectively. Tbelow are 3 commonly supplied techniques to uncover LCM of 5 and 15 - by listing multiples, by department strategy, and also by prime factorization.

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1.LCM of 5 and also 15
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 5 and 15 is 15.

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Explanation:

The LCM of two non-zero integers, x(5) and also y(15), is the smallest positive integer m(15) that is divisible by both x(5) and y(15) without any remainder.


Let's look at the various methods for finding the LCM of 5 and 15.

By Prime Factorization MethodBy Division MethodBy Listing Multiples

LCM of 5 and 15 by Prime Factorization

Prime factorization of 5 and 15 is (5) = 51 and (3 × 5) = 31 × 51 respectively. LCM of 5 and also 15 deserve to be acquired by multiplying prime components increased to their respective greatest power, i.e. 31 × 51 = 15.Hence, the LCM of 5 and 15 by prime factorization is 15.

LCM of 5 and also 15 by Division Method

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To calculate the LCM of 5 and 15 by the division technique, we will certainly divide the numbers(5, 15) by their prime components (preferably common). The product of these divisors gives the LCM of 5 and 15.

Step 3: Continue the measures until just 1s are left in the last row.

The LCM of 5 and also 15 is the product of all prime numbers on the left, i.e. LCM(5, 15) by department method = 3 × 5 = 15.

LCM of 5 and 15 by Listing Multiples

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To calculate the LCM of 5 and also 15 by listing out the common multiples, we can follow the given below steps:

Tip 1: List a couple of multiples of 5 (5, 10, 15, 20, 25, 30, . . . ) and 15 (15, 30, 45, 60, 75, 90, 105, . . . . )Step 2: The prevalent multiples from the multiples of 5 and also 15 are 15, 30, . . .Tip 3: The smallest common multiple of 5 and also 15 is 15.

∴ The leastern widespread multiple of 5 and 15 = 15.

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FAQs on LCM of 5 and also 15

What is the LCM of 5 and 15?

The LCM of 5 and also 15 is 15. To discover the leastern prevalent multiple of 5 and also 15, we must discover the multiples of 5 and also 15 (multiples of 5 = 5, 10, 15, 20; multiples of 15 = 15, 30, 45, 60) and also choose the smallest multiple that is specifically divisible by 5 and also 15, i.e., 15.

Which of the complying with is the LCM of 5 and 15? 3, 28, 15, 12

The worth of LCM of 5, 15 is the smallest common multiple of 5 and also 15. The number satisfying the given condition is 15.

What is the Leastern Perfect Square Divisible by 5 and also 15?

The leastern number divisible by 5 and 15 = LCM(5, 15)LCM of 5 and 15 = 3 × 5 ⇒ Least perfect square divisible by each 5 and 15 = LCM(5, 15) × 3 × 5 = 225 As such, 225 is the compelled number.

If the LCM of 15 and also 5 is 15, Find its GCF.

LCM(15, 5) × GCF(15, 5) = 15 × 5Due to the fact that the LCM of 15 and also 5 = 15⇒ 15 × GCF(15, 5) = 75Therefore, the GCF (biggest common factor) = 75/15 = 5.

See more: Sixty-Five Hundred In Number Form, Place Value And Names For Whole Numbers

What is the Relation Between GCF and LCM of 5, 15?

The following equation have the right to be used to expush the relation between GCF and LCM of 5 and also 15, i.e. GCF × LCM = 5 × 15.