LCM the 7 and also 8 is the smallest number amongst all common multiples the 7 and also 8. The first few multiples the 7 and also 8 room (7, 14, 21, 28, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There room 3 generally used techniques to uncover LCM that 7 and also 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 that 7 and 8 is 56. Explanation:

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

Let's look in ~ the various methods because that finding the LCM of 7 and also 8.

By element Factorization MethodBy division MethodBy Listing Multiples

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

Prime factorization of 7 and also 8 is (7) = 71 and also (2 × 2 × 2) = 23 respectively. LCM that 7 and 8 can be acquired by multiply prime determinants raised to their respective highest possible power, i.e. 23 × 71 = 56.Hence, the LCM of 7 and also 8 by prime factorization is 56.

### LCM that 7 and also 8 by department Method To calculation the LCM the 7 and 8 through the division method, we will divide the numbers(7, 8) by your prime determinants (preferably common). The product of these divisors provides the LCM of 7 and 8.

Step 3: proceed the steps until only 1s room left in the critical row.

The LCM of 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 the 7 and also 8 by Listing Multiples To calculation the LCM the 7 and also 8 through listing out the typical multiples, we can follow the given below steps:

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

∴ The least common multiple that 7 and also 8 = 56. ## FAQs ~ above LCM of 7 and also 8

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

The LCM that 7 and also 8 is 56. To discover the LCM of 7 and 8, we require to uncover the multiples the 7 and 8 (multiples of 7 = 7, 14, 21, 28 . . . . 56; multiples that 8 = 8, 16, 24, 32 . . . . 56) and choose the the smallest multiple the is precisely 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 also 8 = LCM(7, 8)LCM the 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 between GCF and LCM of 7, 8?

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

### If the LCM the 8 and 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 common factor) = 56/56 = 1.

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

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