LCM of 7 and 8 is the the smallest number amongst all common multiples that 7 and also 8. The first few multiples that 7 and 8 space (7, 14, 21, 28, . . . ) and also (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There room 3 commonly used techniques to uncover LCM that 7 and also 8 - by listing multiples, by element factorization, and also by department method.

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 1 LCM that 7 and also 8 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM that 7 and 8 is 56.

Explanation:

The LCM of 2 non-zero integers, x(7) and also y(8), is the smallest positive integer m(56) the is divisible by both x(7) and y(8) without any kind of remainder.

Let's look at the different methods for finding the LCM of 7 and also 8.

By prime Factorization MethodBy division MethodBy Listing Multiples

### LCM of 7 and also 8 by prime Factorization

Prime factorization of 7 and also 8 is (7) = 71 and also (2 × 2 × 2) = 23 respectively. LCM that 7 and 8 have the right to be obtained by multiply prime factors raised to your respective highest power, i.e. 23 × 71 = 56.Hence, the LCM the 7 and 8 by element factorization is 56.

### LCM the 7 and also 8 by department Method

To calculate the LCM that 7 and also 8 by the division method, we will certainly divide the numbers(7, 8) by their prime determinants (preferably common). The product of this divisors offers the LCM of 7 and 8.

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

The LCM the 7 and 8 is the product of all prime numbers on the left, i.e. LCM(7, 8) by department method = 2 × 2 × 2 × 7 = 56.

### LCM the 7 and 8 through Listing Multiples

To calculation the LCM that 7 and 8 by listing out the typical multiples, we deserve to follow the given below steps:

Step 1: list a few multiples the 7 (7, 14, 21, 28, . . . ) and 8 (8, 16, 24, 32, 40, 48, 56, . . . . )Step 2: The usual multiples native the multiples that 7 and 8 are 56, 112, . . .Step 3: The smallest usual multiple of 7 and also 8 is 56.

∴ The least usual multiple of 7 and also 8 = 56.

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## FAQs top top LCM of 7 and also 8

### What is the LCM that 7 and also 8?

The LCM that 7 and 8 is 56. To uncover the LCM that 7 and 8, we need to discover the multiples that 7 and 8 (multiples that 7 = 7, 14, 21, 28 . . . . 56; multiples the 8 = 8, 16, 24, 32 . . . . 56) and also choose the the smallest multiple that is precisely divisible by 7 and 8, i.e., 56.

### What is the the very least Perfect Square Divisible by 7 and also 8?

The least number divisible by 7 and 8 = LCM(7, 8)LCM of 7 and 8 = 2 × 2 × 2 × 7 ⇒ least perfect square divisible by every 7 and 8 = LCM(7, 8) × 2 × 7 = 784 Therefore, 784 is the forced number.

### What is the Relation in between GCF and LCM that 7, 8?

The adhering to equation have the right to be offered to express the relation between GCF and also LCM that 7 and 8, i.e. GCF × LCM = 7 × 8.

### If the LCM that 8 and 7 is 56, uncover its GCF.

LCM(8, 7) × GCF(8, 7) = 8 × 7Since the LCM of 8 and 7 = 56⇒ 56 × GCF(8, 7) = 56Therefore, the GCF (greatest common factor) = 56/56 = 1.

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### How to uncover the LCM of 7 and 8 by element Factorization?

To uncover the LCM that 7 and 8 utilizing prime factorization, us will uncover the prime factors, (7 = 7) and (8 = 2 × 2 × 2). LCM the 7 and 8 is the product that prime factors raised to your respective greatest exponent amongst the numbers 7 and also 8.⇒ LCM of 7, 8 = 23 × 71 = 56.