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

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 1 LCM the 3 and also 7 2 List of 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) the is divisible by both x(3) and y(7) without any remainder.

The approaches to discover the LCM of 3 and 7 are explained below.

By element Factorization MethodBy Listing MultiplesBy division Method

### LCM the 3 and 7 by element Factorization

Prime administer of 3 and 7 is (3) = 31 and also (7) = 71 respectively. LCM the 3 and also 7 deserve to be derived by multiply prime components raised to your respective greatest power, i.e. 31 × 71 = 21.Hence, the LCM that 3 and 7 by prime factorization is 21.

### LCM of 3 and 7 by Listing Multiples

To calculation the LCM of 3 and also 7 by listing the end the usual multiples, we deserve to follow the given listed below steps:

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

∴ The least typical multiple of 3 and also 7 = 21.

### LCM the 3 and 7 by division Method

To calculate the LCM the 3 and also 7 through the division method, we will certainly divide the numbers(3, 7) by your prime factors (preferably common). The product of these divisors gives the LCM of 3 and 7.

Step 3: continue the measures until only 1s space left in the critical row.

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