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

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

Answer: LCM that 6 and also 8 is 24.

Explanation:

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

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

By prime Factorization MethodBy Listing MultiplesBy department Method

### LCM the 6 and 8 by element Factorization

Prime administrate of 6 and also 8 is (2 × 3) = 21 × 31 and (2 × 2 × 2) = 23 respectively. LCM the 6 and 8 can be acquired by multiplying prime factors raised to their respective greatest power, i.e. 23 × 31 = 24.Hence, the LCM that 6 and 8 by element factorization is 24.

### LCM the 6 and also 8 by Listing Multiples

To calculation the LCM of 6 and also 8 by listing the end the typical multiples, we have the right to follow the given listed below steps:

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

∴ The least common multiple of 6 and 8 = 24.

### LCM the 6 and also 8 by department Method

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

Step 3: proceed the actions until only 1s are left in the critical row.

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

## FAQs ~ above LCM of 6 and also 8

### What is the LCM the 6 and 8?

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

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

The least number divisible through 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 the the following is the LCM the 6 and also 8? 15, 42, 24, 28

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

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

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

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### How to find the LCM the 6 and 8 by element Factorization?

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