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

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

Answer: LCM of 7 and 11 is 77.

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Explanation:

The LCM of 2 non-zero integers, x(7) and y(11), is the smallest optimistic integer m(77) the is divisible through both x(7) and also y(11) without any type of remainder.


The techniques to find the LCM that 7 and also 11 are explained below.

By Listing MultiplesBy element Factorization MethodBy division Method

LCM that 7 and also 11 through Listing Multiples

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To calculation the LCM the 7 and also 11 through listing out the usual multiples, we can follow the given below steps:

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

∴ The least common multiple of 7 and 11 = 77.

LCM that 7 and 11 by prime Factorization

Prime administrate of 7 and also 11 is (7) = 71 and also (11) = 111 respectively. LCM that 7 and 11 can be derived by multiplying prime components raised to their respective greatest power, i.e. 71 × 111 = 77.Hence, the LCM that 7 and also 11 by prime factorization is 77.

LCM that 7 and 11 by division Method

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

Step 3: proceed the procedures until just 1s space left in the last row.

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