LCM that 3 and 11 is the smallest number amongst all common multiples the 3 and 11. The first couple of multiples that 3 and also 11 are (3, 6, 9, 12, . . . ) and also (11, 22, 33, 44, 55, 66, . . . ) respectively. There are 3 frequently used methods to uncover LCM the 3 and 11 - through listing multiples, by division method, and by prime factorization.

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

Answer: LCM the 3 and also 11 is 33.

Explanation:

The LCM of 2 non-zero integers, x(3) and y(11), is the smallest positive integer m(33) the is divisible by both x(3) and also y(11) without any kind of remainder.

The approaches to uncover the LCM that 3 and also 11 are defined below.

By Listing MultiplesBy department MethodBy element Factorization Method

### LCM of 3 and 11 by Listing Multiples

To calculate the LCM the 3 and 11 through listing the end the usual multiples, we have the right to follow the given below steps:

Step 1: list a few multiples of 3 (3, 6, 9, 12, . . . ) and also 11 (11, 22, 33, 44, 55, 66, . . . . )Step 2: The typical multiples native the multiples the 3 and 11 room 33, 66, . . .Step 3: The smallest usual multiple of 3 and 11 is 33.

∴ The least typical multiple the 3 and also 11 = 33.

### LCM of 3 and also 11 by department Method

To calculation the LCM that 3 and 11 by the division method, we will certainly divide the numbers(3, 11) by your prime determinants (preferably common). The product of this divisors provides the LCM that 3 and 11.

Step 3: continue the steps until only 1s are left in the last row.

The LCM the 3 and 11 is the product of all prime numbers on the left, i.e. LCM(3, 11) by department method = 3 × 11 = 33.

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### LCM of 3 and also 11 by element Factorization

Prime administer of 3 and 11 is (3) = 31 and (11) = 111 respectively. LCM that 3 and 11 can be obtained by multiply prime components raised to their respective greatest power, i.e. 31 × 111 = 33.Hence, the LCM that 3 and also 11 by prime factorization is 33.