LCM of 8 and also 15 is the smallest number among all typical multiples of 8 and also 15. The first few multiples that 8 and also 15 room (8, 16, 24, 32, . . . ) and (15, 30, 45, 60, . . . ) respectively. There space 3 generally used techniques to discover LCM the 8 and 15 - by listing multiples, by division method, and also by prime factorization.

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

Answer: LCM of 8 and 15 is 120.

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Explanation:

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


The methods to uncover the LCM the 8 and 15 are defined below.

By division MethodBy Listing MultiplesBy element Factorization Method

LCM that 8 and also 15 by division Method

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To calculation the LCM of 8 and also 15 by the department method, we will certainly divide the numbers(8, 15) by your prime determinants (preferably common). The product of this divisors offers the LCM of 8 and also 15.

Step 3: proceed the steps until only 1s room left in the last row.

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

LCM that 8 and 15 through Listing Multiples

To calculate the LCM the 8 and 15 through listing out the typical multiples, we deserve to follow the given below steps:

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

∴ The least typical multiple the 8 and 15 = 120.

LCM of 8 and 15 by element Factorization

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

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FAQs ~ above LCM that 8 and also 15

What is the LCM of 8 and also 15?

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

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

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

How to uncover the LCM of 8 and 15 by element Factorization?

To uncover the LCM the 8 and 15 making use of prime factorization, we will uncover the prime factors, (8 = 2 × 2 × 2) and (15 = 3 × 5). LCM of 8 and also 15 is the product the prime factors raised to your respective greatest exponent among the number 8 and 15.⇒ LCM the 8, 15 = 23 × 31 × 51 = 120.

What is the the very least Perfect Square Divisible by 8 and 15?

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

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

The value of LCM the 8, 15 is the smallest common multiple the 8 and also 15. The number to solve the given problem is 120.