LCM the 7 and also 8 is the the smallest number amongst all usual multiples of 7 and 8. The first couple of multiples of 7 and also 8 room (7, 14, 21, 28, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There space 3 typically used methods to find LCM of 7 and 8 - by listing multiples, by prime factorization, and also by division method.

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

Answer: LCM of 7 and 8 is 56. Explanation:

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

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

By prime Factorization MethodBy division MethodBy Listing Multiples

### LCM the 7 and 8 by prime Factorization

Prime factorization of 7 and 8 is (7) = 71 and also (2 × 2 × 2) = 23 respectively. LCM the 7 and also 8 deserve to be derived by multiplying prime components raised to their respective highest power, i.e. 23 × 71 = 56.Hence, the LCM the 7 and 8 by element factorization is 56.

### LCM of 7 and 8 by department Method To calculation the LCM the 7 and also 8 by the department method, we will divide the numbers(7, 8) by their prime components (preferably common). The product of this divisors gives the LCM of 7 and also 8.

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

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

### LCM the 7 and 8 by Listing Multiples To calculate the LCM the 7 and also 8 through listing the end the common multiples, we have the right to follow the given below steps:

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

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

☛ likewise Check: ## FAQs top top LCM of 7 and also 8

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

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

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

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

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

The following equation have the right to be provided to to express the relation between GCF and LCM of 7 and 8, i.e. GCF × LCM = 7 × 8.

### If the LCM the 8 and also 7 is 56, find its GCF.

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

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### How to find the LCM the 7 and 8 by prime Factorization?

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