LCM the 5 and also 10 is the smallest number amongst all usual multiples of 5 and also 10. The first couple of multiples of 5 and also 10 space (5, 10, 15, 20, 25, 30, 35, . . . ) and (10, 20, 30, 40, . . . ) respectively. There space 3 typically used techniques to discover LCM that 5 and 10 - by department method, through listing multiples, and by element factorization.

You are watching: Lowest common multiple of 5 and 10

 1 LCM the 5 and 10 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM the 5 and 10 is 10.

Explanation:

The LCM of two non-zero integers, x(5) and also y(10), is the smallest confident integer m(10) the is divisible by both x(5) and y(10) without any remainder.

The techniques to discover the LCM that 5 and 10 are described below.

By department MethodBy element Factorization MethodBy Listing Multiples

### LCM that 5 and 10 by division Method

To calculation the LCM the 5 and also 10 by the department method, we will divide the numbers(5, 10) by your prime components (preferably common). The product of this divisors gives the LCM the 5 and also 10.

Step 3: proceed the steps until just 1s room left in the critical row.

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

### LCM of 5 and 10 by element Factorization

Prime administer of 5 and also 10 is (5) = 51 and also (2 × 5) = 21 × 51 respectively. LCM of 5 and also 10 can be obtained by multiplying prime components raised to their respective greatest power, i.e. 21 × 51 = 10.Hence, the LCM that 5 and also 10 by element factorization is 10.

### LCM of 5 and also 10 through Listing Multiples

To calculation the LCM the 5 and also 10 through listing the end the common multiples, we can follow the given below steps:

Step 1: list a few multiples of 5 (5, 10, 15, 20, 25, 30, 35, . . . ) and also 10 (10, 20, 30, 40, . . . . )Step 2: The typical multiples indigenous the multiples the 5 and 10 space 10, 20, . . .Step 3: The smallest usual multiple of 5 and 10 is 10.

See more: The Two Factors That Determine Whether A Reaction Is Spontaneous Or Nonspontaneous Are

∴ The least common multiple of 5 and also 10 = 10.