LCM the 8 and 10 is the the smallest number among all common multiples of 8 and 10. The first few multiples the 8 and also 10 are (8, 16, 24, 32, 40, . . . ) and also (10, 20, 30, 40, . . . ) respectively. There space 3 commonly used methods to find LCM the 8 and also 10 - by prime factorization, by listing multiples, and also by division method.

You are watching: Find the lcm of 8 and 10

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

Answer: LCM of 8 and also 10 is 40.

*

Explanation:

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


Let's look in ~ the different methods for finding the LCM the 8 and also 10.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM the 8 and also 10 by prime Factorization

Prime administer of 8 and also 10 is (2 × 2 × 2) = 23 and also (2 × 5) = 21 × 51 respectively. LCM the 8 and also 10 have the right to be acquired by multiplying prime factors raised to your respective highest power, i.e. 23 × 51 = 40.Hence, the LCM of 8 and 10 by element factorization is 40.

LCM of 8 and 10 by Listing Multiples

*

To calculate the LCM of 8 and 10 through listing out the typical multiples, we can follow the given listed below steps:

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

∴ The least common multiple that 8 and 10 = 40.

LCM of 8 and also 10 by division Method

*

To calculation the LCM that 8 and 10 by the department method, we will divide the numbers(8, 10) by your prime factors (preferably common). The product of these divisors provides the LCM of 8 and also 10.

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

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

☛ also Check:


*


FAQs on LCM of 8 and 10

What is the LCM the 8 and also 10?

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

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

The adhering to equation have the right to be offered to to express 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, uncover its GCF.

LCM(10, 8) × GCF(10, 8) = 10 × 8Since the LCM the 10 and also 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 also 10?

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

See more: Know How Many Cups Is A Pound Of Brown Sugar In One Pound? How Many Cups Of Brown Sugar In 1 Pound

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

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