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

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

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

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

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

By element Factorization MethodBy department MethodBy Listing Multiples

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

Prime administrate of 7 and 8 is (7) = 71 and (2 × 2 × 2) = 23 respectively. LCM of 7 and 8 can be derived by multiply prime components raised to their respective greatest 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 calculation the LCM of 7 and 8 by the division method, we will certainly divide the numbers(7, 8) by your prime determinants (preferably common). The product of this divisors provides the LCM the 7 and also 8.

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

The LCM the 7 and also 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 of 7 and also 8 by Listing Multiples To calculate the LCM that 7 and 8 by listing out 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 also 8 (8, 16, 24, 32, 40, 48, 56, . . . . )Step 2: The typical multiples from the multiples the 7 and also 8 are 56, 112, . . .Step 3: The smallest common multiple the 7 and also 8 is 56.

∴ The least usual multiple of 7 and also 8 = 56. ## FAQs top top LCM the 7 and 8

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

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

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

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

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

The adhering to equation deserve to be provided to refer the relation in between GCF and LCM that 7 and 8, i.e. GCF × LCM = 7 × 8.

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

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

See more: Simplify Square Root Of 23 In Radical Form ? Square Root Of 23

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

To discover the LCM that 7 and 8 making use of prime factorization, us will uncover the prime factors, (7 = 7) and also (8 = 2 × 2 × 2). LCM that 7 and 8 is the product the prime determinants raised to their respective greatest exponent among the numbers 7 and also 8.⇒ LCM that 7, 8 = 23 × 71 = 56.