LCM the 6 and also 10 is the smallest number amongst all common multiples that 6 and also 10. The first couple of multiples of 6 and also 10 are (6, 12, 18, 24, 30, 36, 42, . . . ) and also (10, 20, 30, 40, . . . ) respectively. There space 3 commonly used approaches to discover LCM the 6 and 10 - through listing multiples, by element factorization, and also by department method.

You are watching: The least common multiple of 6 and 10

 1 LCM that 6 and 10 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM that 6 and also 10 is 30.

Explanation:

The LCM of two non-zero integers, x(6) and also y(10), is the smallest confident integer m(30) that is divisible by both x(6) and also y(10) without any kind of remainder.

The techniques to uncover the LCM that 6 and 10 are described below.

By department MethodBy Listing MultiplesBy element Factorization Method

### LCM of 6 and 10 by division Method

To calculate the LCM of 6 and also 10 by the department method, we will certainly divide the numbers(6, 10) by your prime determinants (preferably common). The product of these divisors gives the LCM of 6 and 10.

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

The LCM the 6 and also 10 is the product of every prime number on the left, i.e. LCM(6, 10) by division method = 2 × 3 × 5 = 30.

### LCM the 6 and also 10 by Listing Multiples

To calculation the LCM the 6 and also 10 by listing the end the usual multiples, we deserve to follow the given below steps:

Step 1: perform a few multiples the 6 (6, 12, 18, 24, 30, 36, 42, . . . ) and 10 (10, 20, 30, 40, . . . . )Step 2: The usual multiples native the multiples that 6 and 10 room 30, 60, . . .Step 3: The smallest common multiple of 6 and also 10 is 30.

∴ The least usual multiple of 6 and also 10 = 30.

See more: What Does A Circle With An X In It Mean S Just About Everything

### LCM the 6 and 10 by prime Factorization

Prime administrate of 6 and 10 is (2 × 3) = 21 × 31 and also (2 × 5) = 21 × 51 respectively. LCM that 6 and also 10 deserve to be acquired by multiplying prime components raised to your respective greatest power, i.e. 21 × 31 × 51 = 30.Hence, the LCM that 6 and 10 by element factorization is 30.