LCM of 6 and 8 is the smallest number among all usual multiples of 6 and 8. The first couple of multiples of 6 and also 8 room (6, 12, 18, 24, 30, 36, 42, . . . ) and also (8, 16, 24, 32, . . . ) respectively. There space 3 frequently used approaches to discover LCM that 6 and also 8 - by element factorization, by division method, and also by listing multiples.

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1.LCM of 6 and 8
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM that 6 and 8 is 24.

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Explanation:

The LCM of two non-zero integers, x(6) and y(8), is the smallest optimistic integer m(24) the is divisible by both x(6) and also y(8) without any kind of remainder.


Let's look at the various methods for finding the LCM that 6 and 8.

By element Factorization MethodBy Listing MultiplesBy department Method

LCM that 6 and also 8 by prime Factorization

Prime administer of 6 and also 8 is (2 × 3) = 21 × 31 and also (2 × 2 × 2) = 23 respectively. LCM of 6 and 8 deserve to be derived by multiply prime components raised to your respective highest power, i.e. 23 × 31 = 24.Hence, the LCM the 6 and 8 by element factorization is 24.

LCM that 6 and 8 through Listing Multiples

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To calculate the LCM the 6 and also 8 by listing out the common multiples, we can follow the given below steps:

Step 1: list a couple of multiples that 6 (6, 12, 18, 24, 30, 36, 42, . . . ) and also 8 (8, 16, 24, 32, . . . . )Step 2: The common multiples from the multiples that 6 and also 8 room 24, 48, . . .Step 3: The smallest common multiple the 6 and 8 is 24.

∴ The least usual multiple that 6 and also 8 = 24.

LCM that 6 and also 8 by division Method

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To calculate the LCM the 6 and also 8 through the division method, we will divide the numbers(6, 8) by your prime components (preferably common). The product of this divisors provides the LCM of 6 and also 8.

Step 3: continue the procedures until only 1s space left in the last row.

The LCM of 6 and also 8 is the product of all prime number on the left, i.e. LCM(6, 8) by department method = 2 × 2 × 2 × 3 = 24.

☛ additionally Check:


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FAQs top top LCM that 6 and also 8

What is the LCM the 6 and 8?

The LCM the 6 and 8 is 24. To discover the least common multiple (LCM) of 6 and also 8, we need to discover the multiples that 6 and also 8 (multiples the 6 = 6, 12, 18, 24; multiples the 8 = 8, 16, 24, 32) and choose the the smallest multiple that is exactly divisible by 6 and 8, i.e., 24.

What is the the very least Perfect Square Divisible by 6 and also 8?

The least number divisible through 6 and 8 = LCM(6, 8)LCM the 6 and also 8 = 2 × 2 × 2 × 3 ⇒ least perfect square divisible by each 6 and also 8 = LCM(6, 8) × 2 × 3 = 144 Therefore, 144 is the compelled number.

Which that the following is the LCM that 6 and also 8? 15, 42, 24, 28

The value of LCM the 6, 8 is the smallest usual multiple that 6 and also 8. The number satisfying the given condition is 24.

If the LCM the 8 and also 6 is 24, uncover its GCF.

LCM(8, 6) × GCF(8, 6) = 8 × 6Since the LCM that 8 and 6 = 24⇒ 24 × GCF(8, 6) = 48Therefore, the greatest typical factor (GCF) = 48/24 = 2.

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How to discover the LCM of 6 and 8 by prime Factorization?

To find the LCM the 6 and 8 using prime factorization, we will discover the element factors, (6 = 2 × 3) and also (8 = 2 × 2 × 2). LCM the 6 and also 8 is the product of prime determinants raised to your respective highest possible exponent amongst the number 6 and 8.⇒ LCM that 6, 8 = 23 × 31 = 24.