LCM of 3 and 8 is the the smallest number among all usual multiples of 3 and also 8. The first few multiples that 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 of 3 and 8 - by element factorization, by listing multiples, and also by division method.

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1.LCM of 3 and 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 hopeful integer m(24) the is divisible by both x(3) and also y(8) without any type of remainder.


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

By department MethodBy element Factorization MethodBy Listing Multiples

LCM that 3 and also 8 by department Method

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To calculation the LCM the 3 and also 8 by the division method, we will divide the numbers(3, 8) by their prime components (preferably common). The product of these divisors offers the LCM of 3 and also 8.

Step 3: proceed the measures until just 1s room left in the last row.

The LCM of 3 and also 8 is the product of every 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 8 is (3) = 31 and also (2 × 2 × 2) = 23 respectively. LCM the 3 and 8 have the right to be acquired by multiplying prime factors raised to their respective highest possible power, i.e. 23 × 31 = 24.Hence, the LCM that 3 and 8 by element factorization is 24.

LCM of 3 and 8 through Listing Multiples

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To calculation the LCM that 3 and 8 through listing the end the common multiples, we can 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 typical multiples indigenous the multiples that 3 and 8 room 24, 48, . . .Step 3: The smallest common multiple that 3 and 8 is 24.

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