LCM that 3 and also 7 is the the smallest number among all typical multiples of 3 and 7. The first couple of multiples of 3 and also 7 are (3, 6, 9, 12, 15, 18, . . . ) and also (7, 14, 21, 28, 35, . . . ) respectively. There are 3 frequently used approaches to discover LCM of 3 and 7 - by listing multiples, by department method, and by prime 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 also 7 is 21. Explanation:

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

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

By element Factorization MethodBy Listing MultiplesBy department Method

### LCM of 3 and 7 by prime Factorization

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

### LCM of 3 and also 7 through Listing Multiples To calculation the LCM that 3 and 7 through listing the end the usual multiples, we can follow the given listed below steps:

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

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

### LCM the 3 and also 7 by division Method To calculate the LCM that 3 and also 7 through the division method, we will divide the numbers(3, 7) by their prime determinants (preferably common). The product of these divisors provides the LCM of 3 and also 7.

Step 3: proceed the procedures until only 1s space left in the last row.

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The LCM that 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.