LCM the 7 and 8 is the the smallest number amongst all typical multiples of 7 and 8. The first few multiples the 7 and 8 space (7, 14, 21, 28, . . . ) and also (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There are 3 generally used approaches to uncover LCM of 7 and also 8 - through listing multiples, by element factorization, and also by division method.

You are watching: What is the least common multiple of 7 and 8

1. | LCM of 7 and 8 |

2. | List the 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 hopeful integer m(56) the is divisible by both x(7) and also y(8) without any type of remainder.

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

By element Factorization MethodBy department MethodBy Listing Multiples### LCM of 7 and 8 by prime Factorization

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

### LCM that 7 and also 8 by division Method

To calculate the LCM the 7 and 8 by the department method, we will divide the numbers(7, 8) by your prime determinants (preferably common). The product of these divisors gives the LCM of 7 and also 8.

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

The LCM of 7 and 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 calculation the LCM of 7 and 8 by listing out the typical multiples, we deserve to follow the given listed below steps:

**Step 1:**list a few multiples that 7 (7, 14, 21, 28, . . . ) and 8 (8, 16, 24, 32, 40, 48, 56, . . . . )

**Step 2:**The usual multiples native the multiples the 7 and 8 room 56, 112, . . .

**Step 3:**The smallest common multiple that 7 and 8 is 56.

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

**☛ also Check:**

## FAQs on LCM that 7 and also 8

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

The **LCM the 7 and also 8 is 56**. To discover the LCM the 7 and 8, we require to uncover the multiples the 7 and also 8 (multiples that 7 = 7, 14, 21, 28 . . . . 56; multiples that 8 = 8, 16, 24, 32 . . . . 56) and also choose the the smallest multiple that is precisely 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 also 8 = LCM(7, 8)LCM the 7 and 8 = 2 × 2 × 2 × 7

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

The complying with equation can be supplied to express the relation between GCF and also LCM of 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 of 8 and 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 discover the LCM the 7 and also 8 utilizing prime factorization, us will find the element factors, (7 = 7) and (8 = 2 × 2 × 2). LCM that 7 and 8 is the product that prime determinants raised to your respective greatest exponent amongst the number 7 and 8.⇒ LCM that 7, 8 = 23 × 71 = 56.