Least Common Multiple of 825, 456, 567

Q: How to Find the LCM of 825, 456, 567 ?

Least Common Multiple of 825, 456, 567 = 23700600 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(825, 456, 567) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 19 = 23700600.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 825, 456, 567 i.e. 23700600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 825, 456, 567 is 23700600.

LCM(825, 456, 567) = 23700600

LCM of 825, 456, 567

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 825, 456, 567 by common division method
Least Common Multiple of 825, 456, 567 with GCF Formula

Least Common Multiple of 825,456,567

Least Common Multiple (LCM) of 825,456,567 is 23700600

3	825, 456, 567
	275, 152, 189

∴ So the LCM of the given numbers is 3 x 275 x 152 x 189 = 23700600

Least Common Multiple of 825,456,567 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 825,456,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,456,567) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(825,456,567) x common factors =3 x 3 = 9

LCM(825,456,567) = ( 825 × 456 × 567 ) / 9

LCM(825,456,567) = 213305400 / 9

LCM(825,456,567) = 23700600

∴ Least Common Multiple of 825,456,567 is 23700600

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 825, 456, 567

1. What is the LCM of 825, 456, 567?

Answer: LCM of 825, 456, 567 is 23700600.

2. What are the Factors of 23700600?

Answer: Factors of 23700600 are . There are integers that are factors of 23700600

3. How to Find the LCM of 825, 456, 567 ?

Least Common Multiple of 825, 456, 567.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(825, 456, 567) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 19 = 23700600.