LCM the 7 and also 8 is the the smallest number among all usual multiples the 7 and 8. The first couple of multiples that 7 and also 8 are (7, 14, 21, 28, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There room 3 commonly used approaches to find LCM of 7 and 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 of Methods 3 Solved Examples 4 FAQs

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

The LCM of 2 non-zero integers, x(7) and also y(8), is the smallest hopeful integer m(56) that is divisible by 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 element Factorization MethodBy department MethodBy Listing Multiples

### LCM that 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 the 7 and 8 have the right to be acquired by multiply prime determinants raised to their respective greatest power, i.e. 23 × 71 = 56.Hence, the LCM that 7 and also 8 by element factorization is 56.

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

Step 3: proceed the procedures until only 1s are left in the last row.

The LCM that 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 8 by Listing Multiples To calculation the LCM that 7 and also 8 by listing the end the typical multiples, we have the right to follow the given listed below steps:

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

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

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

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

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

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

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

The following equation deserve to be supplied to refer the relation between GCF and also LCM that 7 and 8, i.e. GCF × LCM = 7 × 8.

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