LCM that 6 and also 8 is the the smallest number amongst all typical multiples that 6 and 8. The first couple of multiples that 6 and 8 space (6, 12, 18, 24, 30, 36, 42, . . . ) and (8, 16, 24, 32, . . . ) respectively. There space 3 generally used techniques to discover LCM of 6 and 8 - by element factorization, by department method, and by listing multiples.

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

Answer: LCM that 6 and also 8 is 24.

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Explanation:

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


Let's look in ~ the different methods because that finding the LCM the 6 and 8.

By prime Factorization MethodBy Listing MultiplesBy division 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 that 6 and 8 deserve to be acquired by multiply prime factors raised to their respective highest power, i.e. 23 × 31 = 24.Hence, the LCM that 6 and also 8 by prime factorization is 24.

LCM that 6 and 8 by Listing Multiples

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To calculation the LCM of 6 and also 8 by listing the end the usual multiples, we can follow the given listed below steps:

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

∴ The least typical multiple the 6 and also 8 = 24.

LCM that 6 and 8 by department Method

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To calculate the LCM that 6 and also 8 by the division method, we will certainly divide the numbers(6, 8) by their prime determinants (preferably common). The product of these divisors provides the LCM the 6 and 8.

Step 3: continue the procedures until just 1s space left in the critical row.

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

☛ also Check:


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FAQs ~ above LCM the 6 and also 8

What is the LCM of 6 and also 8?

The LCM the 6 and also 8 is 24. To uncover the least typical multiple (LCM) the 6 and also 8, we need to uncover the multiples the 6 and 8 (multiples the 6 = 6, 12, 18, 24; multiples that 8 = 8, 16, 24, 32) and choose the the smallest multiple the is specifically divisible through 6 and 8, i.e., 24.

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

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

Which that the adhering to is the LCM that 6 and 8? 15, 42, 24, 28

The worth of LCM of 6, 8 is the smallest typical multiple that 6 and also 8. The number solve the given problem is 24.

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

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

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How to find the LCM that 6 and also 8 by prime Factorization?

To discover the LCM the 6 and also 8 making use of prime factorization, us will discover the element factors, (6 = 2 × 3) and also (8 = 2 × 2 × 2). LCM of 6 and 8 is the product the prime components raised to your respective highest possible exponent among the numbers 6 and 8.⇒ LCM the 6, 8 = 23 × 31 = 24.