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

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

Answer: LCM of 7 and 11 is 77.

Explanation:

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

The methods to find 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 calculate the LCM of 7 and also 11 by listing the end the usual multiples, we deserve to follow the given below steps:

Step 1: list a couple of multiples of 7 (7, 14, 21, 28, . . . ) and 11 (11, 22, 33, 44, 55, 66, . . . . )Step 2: The usual multiples from the multiples that 7 and also 11 are 77, 154, . . .Step 3: The smallest typical multiple of 7 and also 11 is 77.

∴ The least usual multiple the 7 and 11 = 77.

### LCM the 7 and also 11 by element Factorization

Prime administer of 7 and also 11 is (7) = 71 and also (11) = 111 respectively. LCM the 7 and 11 have the right to be acquired by multiplying prime components raised to their respective highest power, i.e. 71 × 111 = 77.Hence, the LCM that 7 and 11 by prime factorization is 77.

### LCM of 7 and 11 by division Method

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

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