LCM that 3 and 8 is the smallest number amongst all typical multiples the 3 and also 8. The first few multiples that 3 and 8 are (3, 6, 9, 12, 15, 18, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There space 3 frequently used techniques to discover LCM the 3 and also 8 - by prime factorization, by listing multiples, and by department method.

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

Answer: LCM of 3 and also 8 is 24.

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Explanation:

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


Let's look in ~ the different methods because that finding the LCM the 3 and also 8.

By department MethodBy prime Factorization MethodBy Listing Multiples

LCM of 3 and also 8 by division Method

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To calculation the LCM the 3 and also 8 through the department method, we will divide the numbers(3, 8) by their prime determinants (preferably common). The product of this divisors provides the LCM the 3 and 8.

Step 3: proceed the steps until just 1s space left in the critical row.

The LCM of 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 of 3 and 8 by prime Factorization

Prime administer of 3 and also 8 is (3) = 31 and also (2 × 2 × 2) = 23 respectively. LCM of 3 and also 8 deserve to be derived by multiply prime components raised to your respective greatest power, i.e. 23 × 31 = 24.Hence, the LCM that 3 and 8 by prime factorization is 24.

LCM of 3 and also 8 by Listing Multiples

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To calculation the LCM the 3 and also 8 by listing the end the common multiples, we have the right to follow the given below steps:

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

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∴ The least typical multiple the 3 and also 8 = 24.