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

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

Answer: LCM that 7 and also 8 is 56. Explanation:

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

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

By element Factorization MethodBy division MethodBy Listing Multiples

### LCM the 7 and also 8 by element Factorization

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

### LCM of 7 and also 8 by division Method To calculate the LCM the 7 and also 8 through the department method, we will certainly divide the numbers(7, 8) by their prime factors (preferably common). The product of these divisors provides the LCM the 7 and also 8.

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

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

### LCM of 7 and 8 by Listing Multiples To calculation the LCM the 7 and 8 by listing out the common multiples, we can follow the given listed below steps:

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

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

☛ likewise Check: ## FAQs top top LCM that 7 and 8

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

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

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

The the very least number divisible by 7 and 8 = LCM(7, 8)LCM that 7 and 8 = 2 × 2 × 2 × 7 ⇒ 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 in between GCF and LCM of 7, 8?

The complying with equation can be used to to express the relation in between GCF and LCM that 7 and 8, i.e. GCF × LCM = 7 × 8.

### If the LCM of 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 typical factor) = 56/56 = 1.

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

To uncover the LCM the 7 and 8 using prime factorization, us will discover the prime factors, (7 = 7) and (8 = 2 × 2 × 2). LCM the 7 and also 8 is the product of prime determinants raised to your respective highest exponent amongst the number 7 and also 8.⇒ LCM the 7, 8 = 23 × 71 = 56.