LCM of 8 and 10 is the smallest number amongst all typical multiples that 8 and also 10. The first couple of multiples that 8 and 10 are (8, 16, 24, 32, 40, . . . ) and (10, 20, 30, 40, . . . ) respectively. There are 3 typically used approaches to discover LCM of 8 and 10 - by element factorization, through listing multiples, and by department method.

You are watching: Find the least common multiple of 8 and 10

1.LCM of 8 and 10
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM that 8 and also 10 is 40.

*

Explanation:

The LCM of two non-zero integers, x(8) and y(10), is the smallest positive integer m(40) that is divisible by both x(8) and y(10) without any remainder.


Let's look at the various methods because that finding the LCM that 8 and also 10.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM the 8 and also 10 by prime Factorization

Prime administrate of 8 and 10 is (2 × 2 × 2) = 23 and (2 × 5) = 21 × 51 respectively. LCM that 8 and also 10 have the right to be obtained by multiplying prime determinants raised to their respective greatest power, i.e. 23 × 51 = 40.Hence, the LCM of 8 and also 10 by element factorization is 40.

LCM the 8 and 10 by Listing Multiples

*

To calculate the LCM that 8 and 10 by listing out the typical multiples, we have the right to follow the given below steps:

Step 1: perform a couple of multiples the 8 (8, 16, 24, 32, 40, . . . ) and 10 (10, 20, 30, 40, . . . . )Step 2: The usual multiples native the multiples the 8 and also 10 space 40, 80, . . .Step 3: The smallest typical multiple of 8 and also 10 is 40.

∴ The least typical multiple the 8 and also 10 = 40.

LCM the 8 and 10 by division Method

*

To calculate the LCM of 8 and also 10 by the department method, we will certainly divide the numbers(8, 10) by your prime factors (preferably common). The product of this divisors gives the LCM the 8 and 10.

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

The LCM the 8 and also 10 is the product of all prime numbers on the left, i.e. LCM(8, 10) by department method = 2 × 2 × 2 × 5 = 40.

☛ additionally Check:


*


FAQs ~ above LCM of 8 and 10

What is the LCM that 8 and 10?

The LCM the 8 and also 10 is 40. To find the least common multiple of 8 and also 10, we need to find the multiples the 8 and also 10 (multiples of 8 = 8, 16, 24, 32 . . . . 40; multiples that 10 = 10, 20, 30, 40) and choose the smallest multiple the is specifically divisible through 8 and 10, i.e., 40.

What is the Relation in between GCF and LCM the 8, 10?

The following equation can be supplied to refer the relation between GCF and LCM that 8 and also 10, i.e. GCF × LCM = 8 × 10.

If the LCM the 10 and also 8 is 40, discover its GCF.

LCM(10, 8) × GCF(10, 8) = 10 × 8Since the LCM of 10 and 8 = 40⇒ 40 × GCF(10, 8) = 80Therefore, the greatest usual factor (GCF) = 80/40 = 2.

What is the the very least Perfect Square Divisible by 8 and 10?

The the very least number divisible by 8 and also 10 = LCM(8, 10)LCM that 8 and 10 = 2 × 2 × 2 × 5 ⇒ least perfect square divisible by every 8 and also 10 = LCM(8, 10) × 2 × 5 = 400 Therefore, 400 is the compelled number.

See more: Fugitives Can I Get A State Id With A Warrant S At The Dmv? Fugitives Can Get Ids Easily In All But 7 States

Which the the complying with is the LCM that 8 and also 10? 36, 40, 35, 3

The worth of LCM that 8, 10 is the smallest common multiple the 8 and also 10. The number solve the given condition is 40.