LCM the 3 and also 8 is the the smallest number amongst all usual multiples the 3 and 8. The first couple of multiples of 3 and also 8 are (3, 6, 9, 12, 15, 18, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There space 3 typically used techniques to find LCM the 3 and also 8 - by element factorization, by listing multiples, and also by department method.

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

Answer: LCM that 3 and 8 is 24.

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Explanation:

The LCM of 2 non-zero integers, x(3) and y(8), is the smallest optimistic integer m(24) that is divisible through both x(3) and y(8) without any type of remainder.


Let's look in ~ the various methods for finding the LCM the 3 and also 8.

By department MethodBy prime Factorization MethodBy Listing Multiples

LCM that 3 and also 8 by department Method

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To calculate the LCM that 3 and also 8 by the division method, we will divide the numbers(3, 8) by their prime factors (preferably common). The product of these divisors gives the LCM of 3 and also 8.

Step 3: proceed the measures until only 1s space left in the critical row.

The LCM that 3 and also 8 is the product of all prime number on the left, i.e. LCM(3, 8) by division method = 2 × 2 × 2 × 3 = 24.

LCM that 3 and also 8 by element Factorization

Prime factorization of 3 and also 8 is (3) = 31 and also (2 × 2 × 2) = 23 respectively. LCM of 3 and also 8 deserve to be acquired by multiplying prime factors raised to your respective greatest power, i.e. 23 × 31 = 24.Hence, the LCM of 3 and also 8 by element factorization is 24.

LCM the 3 and also 8 by Listing Multiples

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To calculate the LCM that 3 and 8 by listing the end the usual multiples, we deserve to follow the given listed below steps:

Step 1: list a few multiples the 3 (3, 6, 9, 12, 15, 18, . . . ) and also 8 (8, 16, 24, 32, 40, 48, 56, . . . . )Step 2: The common multiples from the multiples that 3 and 8 room 24, 48, . . .Step 3: The smallest usual multiple of 3 and also 8 is 24.

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∴ The least usual multiple that 3 and also 8 = 24.