Least Common Multiple of 855, 200, 72

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 855, 200, 72 i.e. 34200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 855, 200, 72 is 34200.

LCM(855, 200, 72) = 34200

LCM of 855, 200, 72

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

LCM of:

Least Common Multiple of 855,200,72

Least Common Multiple (LCM) of 855,200,72 is 34200

2 855, 200, 72
2 855, 100, 36
2 855, 50, 18
3 855, 25, 9
3 285, 25, 3
5 95, 25, 1
19, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 19 x 5 x 1 = 34200

Least Common Multiple of 855,200,72 with GCF Formula

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

We need to calculate greatest common factor of 855,200,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,200,72) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(855,200,72) x common factors =1 x 360 = 360

LCM(855,200,72) = ( 855 × 200 × 72 ) / 360

LCM(855,200,72) = 12312000 / 360

LCM(855,200,72) = 34200

∴ Least Common Multiple of 855,200,72 is 34200

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 855, 200, 72

1. What is the LCM of 855, 200, 72?

Answer: LCM of 855, 200, 72 is 34200.

2. What are the Factors of 34200?

Answer: Factors of 34200 are . There are integers that are factors of 34200

3. How to Find the LCM of 855, 200, 72 ?

Least Common Multiple of 855, 200, 72.

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(855, 200, 72) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 19 = 34200.