LCM of 7 and also 11 is the smallest number among all common multiples of 7 and also 11. The first few multiples of 7 and 11 are (7, 14, 21, 28, . . . ) and (11, 22, 33, 44, 55, 66, . . . ) respectively. Tright here are 3 typically provided techniques to find LCM of 7 and also 11 - by prime factorization, by division method, and also by listing multiples.

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

Answer: LCM of 7 and also 11 is 77.

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Explanation:

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


The methods to discover the LCM of 7 and 11 are defined listed below.

By Listing MultiplesBy Prime Factorization MethodBy Division Method

LCM of 7 and also 11 by Listing Multiples

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To calculate the LCM of 7 and 11 by listing out the common multiples, we can follow the offered below steps:

Step 1: List a few multiples of 7 (7, 14, 21, 28, . . . ) and 11 (11, 22, 33, 44, 55, 66, . . . . )Tip 2: The common multiples from the multiples of 7 and also 11 are 77, 154, . . .Step 3: The smallest widespread multiple of 7 and also 11 is 77.

∴ The leastern widespread multiple of 7 and also 11 = 77.

LCM of 7 and also 11 by Prime Factorization

Prime factorization of 7 and also 11 is (7) = 71 and (11) = 111 respectively. LCM of 7 and also 11 deserve to be obtained by multiplying prime components increased to their corresponding highest power, i.e. 71 × 111 = 77.Hence, the LCM of 7 and also 11 by prime factorization is 77.

LCM of 7 and also 11 by Division Method

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To calculate the LCM of 7 and also 11 by the department technique, we will divide the numbers(7, 11) by their prime factors (preferably common). The product of these divisors offers the LCM of 7 and 11.

Step 3: Continue the actions till just 1s are left in the last row.

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