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

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

Answer: LCM the 3 and 7 is 21. Explanation:

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

The techniques to discover the LCM the 3 and also 7 are defined below.

By prime Factorization MethodBy Listing MultiplesBy department Method

### LCM of 3 and also 7 by element Factorization

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

### LCM the 3 and also 7 by Listing Multiples To calculation the LCM that 3 and 7 by listing the end the typical multiples, we have the right to follow the given listed below steps:

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

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

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

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

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