LCM the 3 and also 7 is the smallest number among all typical multiples the 3 and 7. The first few multiples the 3 and 7 room (3, 6, 9, 12, 15, 18, . . . ) and (7, 14, 21, 28, 35, . . . ) respectively. There space 3 generally used methods to find LCM of 3 and 7 - by listing multiples, by department method, and also by prime factorization.

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

Answer: LCM of 3 and also 7 is 21.

Explanation:

The LCM of 2 non-zero integers, x(3) and also y(7), is the smallest positive integer m(21) that is divisible by both x(3) and y(7) without any type of remainder.

The methods to find the LCM of 3 and also 7 are described below.

By prime Factorization MethodBy Listing MultiplesBy department Method

### LCM of 3 and 7 by element Factorization

Prime factorization of 3 and also 7 is (3) = 31 and also (7) = 71 respectively. LCM that 3 and also 7 have the right to be acquired by multiplying prime components raised to their respective highest power, i.e. 31 × 71 = 21.Hence, the LCM of 3 and 7 by prime factorization is 21.

### LCM of 3 and also 7 by Listing Multiples

To calculation the LCM of 3 and 7 through listing the end the common multiples, we have the right to follow the given listed below steps:

Step 1: list a few multiples that 3 (3, 6, 9, 12, 15, 18, . . . ) and also 7 (7, 14, 21, 28, 35, . . . . )Step 2: The typical multiples from the multiples that 3 and 7 space 21, 42, . . .Step 3: The smallest usual multiple of 3 and also 7 is 21.

∴ The least usual multiple of 3 and 7 = 21.

### LCM the 3 and also 7 by division Method

To calculation the LCM that 3 and 7 by the department method, we will divide the numbers(3, 7) by their prime components (preferably common). The product of this divisors offers the LCM the 3 and 7.

Step 3: proceed the measures until only 1s are left in the critical row.

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The LCM the 3 and 7 is the product of every prime number on the left, i.e. LCM(3, 7) by division method = 3 × 7 = 21.