LCM the 7 and also 11 is the the smallest number amongst all common multiples that 7 and 11. The first few multiples the 7 and 11 room (7, 14, 21, 28, . . . ) and (11, 22, 33, 44, 55, 66, . . . ) respectively. There room 3 generally used methods to discover LCM the 7 and also 11 - by element factorization, by division method, and by listing multiples.

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 1 LCM of 7 and also 11 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM that 7 and also 11 is 77.

Explanation:

The LCM of two non-zero integers, x(7) and also y(11), is the smallest optimistic integer m(77) that is divisible through both x(7) and y(11) without any type of remainder.

The approaches to uncover the LCM of 7 and 11 are explained below.

By Listing MultiplesBy prime Factorization MethodBy division Method

### LCM of 7 and 11 by Listing Multiples

To calculation the LCM the 7 and 11 by listing the end the typical multiples, we deserve to follow the given below steps:

Step 1: list a few multiples the 7 (7, 14, 21, 28, . . . ) and 11 (11, 22, 33, 44, 55, 66, . . . . )Step 2: The typical multiples indigenous the multiples that 7 and 11 space 77, 154, . . .Step 3: The smallest common multiple that 7 and also 11 is 77.

∴ The least typical multiple of 7 and also 11 = 77.

### LCM of 7 and 11 by element Factorization

Prime factorization of 7 and 11 is (7) = 71 and also (11) = 111 respectively. LCM of 7 and also 11 deserve to be derived by multiply prime factors raised to their respective highest power, i.e. 71 × 111 = 77.Hence, the LCM that 7 and 11 by element factorization is 77.

### LCM the 7 and 11 by division Method

To calculate the LCM of 7 and also 11 by the division method, we will certainly divide the numbers(7, 11) by your prime determinants (preferably common). The product of this divisors offers the LCM that 7 and 11.

Step 3: proceed the actions until only 1s room left in the last row.

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The LCM of 7 and 11 is the product of all prime numbers on the left, i.e. LCM(7, 11) by division method = 7 × 11 = 77.