LCM of 8 and also 15 is the smallest number amongst all common multiples that 8 and 15. The first couple of multiples of 8 and also 15 are (8, 16, 24, 32, . . . ) and (15, 30, 45, 60, . . . ) respectively. There room 3 generally used approaches to uncover LCM that 8 and 15 - by listing multiples, by department method, and by element factorization.

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1.LCM that 8 and 15
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 8 and also 15 is 120.

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Explanation:

The LCM of 2 non-zero integers, x(8) and also y(15), is the smallest positive integer m(120) the is divisible by both x(8) and also y(15) without any remainder.


The methods to discover the LCM of 8 and 15 are explained below.

By division MethodBy Listing MultiplesBy prime Factorization Method

LCM that 8 and 15 by division Method

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To calculate the LCM of 8 and 15 through the department method, we will certainly divide the numbers(8, 15) by your prime components (preferably common). The product of these divisors provides the LCM that 8 and also 15.

Step 3: proceed the steps until only 1s are left in the critical row.

The LCM that 8 and 15 is the product of all prime number on the left, i.e. LCM(8, 15) by division method = 2 × 2 × 2 × 3 × 5 = 120.

LCM the 8 and 15 by Listing Multiples

To calculation the LCM the 8 and 15 through listing out the usual multiples, we can follow the given below steps:

Step 1: list a couple of multiples of 8 (8, 16, 24, 32, . . . ) and 15 (15, 30, 45, 60, . . . . )Step 2: The typical multiples native the multiples of 8 and also 15 are 120, 240, . . .Step 3: The smallest usual multiple that 8 and also 15 is 120.

∴ The least common multiple of 8 and also 15 = 120.

LCM that 8 and 15 by prime Factorization

Prime factorization of 8 and 15 is (2 × 2 × 2) = 23 and also (3 × 5) = 31 × 51 respectively. LCM the 8 and also 15 deserve to be acquired by multiply prime determinants raised to your respective highest possible power, i.e. 23 × 31 × 51 = 120.Hence, the LCM the 8 and also 15 by prime factorization is 120.

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FAQs top top LCM that 8 and also 15

What is the LCM of 8 and 15?

The LCM the 8 and also 15 is 120. To discover the least common multiple that 8 and 15, we need to discover the multiples of 8 and 15 (multiples of 8 = 8, 16, 24, 32 . . . . 120; multiples of 15 = 15, 30, 45, 60 . . . . 120) and also choose the the smallest multiple the is exactly divisible by 8 and also 15, i.e., 120.

If the LCM that 15 and also 8 is 120, find its GCF.

LCM(15, 8) × GCF(15, 8) = 15 × 8Since the LCM the 15 and 8 = 120⇒ 120 × GCF(15, 8) = 120Therefore, the greatest typical factor = 120/120 = 1.

How to find the LCM the 8 and also 15 by prime Factorization?

To uncover the LCM of 8 and 15 using prime factorization, we will uncover the element factors, (8 = 2 × 2 × 2) and also (15 = 3 × 5). LCM the 8 and 15 is the product the prime components raised to their respective highest exponent amongst the numbers 8 and also 15.⇒ LCM that 8, 15 = 23 × 31 × 51 = 120.

What is the least Perfect Square Divisible through 8 and 15?

The least number divisible through 8 and 15 = LCM(8, 15)LCM the 8 and 15 = 2 × 2 × 2 × 3 × 5 ⇒ the very least perfect square divisible by each 8 and 15 = LCM(8, 15) × 2 × 3 × 5 = 3600 Therefore, 3600 is the forced number.

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Which of the complying with is the LCM of 8 and 15? 120, 50, 15, 18

The value of LCM of 8, 15 is the smallest typical multiple of 8 and 15. The number satisfying the given problem is 120.