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

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

Answer: LCM the 3 and 7 is 21.

Explanation:

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

The methods to uncover the LCM that 3 and also 7 are explained 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 (7) = 71 respectively. LCM of 3 and also 7 have the right to be acquired by multiplying prime determinants raised to your respective greatest power, i.e. 31 × 71 = 21.Hence, the LCM that 3 and also 7 by prime factorization is 21.

### LCM the 3 and 7 by Listing Multiples

To calculation the LCM the 3 and also 7 through listing the end the typical multiples, we can follow the given listed below steps:

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

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

### LCM of 3 and 7 by division Method

To calculate the LCM that 3 and also 7 by the department method, we will divide the numbers(3, 7) by your prime components (preferably common). The product of these divisors provides the LCM of 3 and 7.

Step 3: proceed the measures until just 1s space left in the critical row.

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