Least Common Multiple of 27, 96, 84, 600

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 27, 96, 84, 600 i.e. 151200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 27, 96, 84, 600 is 151200.

LCM(27, 96, 84, 600) = 151200

LCM of 27, 96, 84, 600

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

LCM of:

Least Common Multiple of 27,96,84,600

Least Common Multiple (LCM) of 27,96,84,600 is 151200

2 27, 96, 84, 600
2 27, 48, 42, 300
2 27, 24, 21, 150
3 27, 12, 21, 75
9, 4, 7, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 9 x 4 x 7 x 25 = 151200

Least Common Multiple of 27,96,84,600 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 27,96,84,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,96,84,600) = 3

common factors(in case of two or more numbers have common factors) = 288

GCF(27,96,84,600) x common factors =3 x 288 = 864

LCM(27,96,84,600) = ( 27 × 96 × 84 × 600 ) / 864

LCM(27,96,84,600) = 130636800 / 864

LCM(27,96,84,600) = 151200

∴ Least Common Multiple of 27,96,84,600 is 151200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 27, 96, 84, 600

1. What is the LCM of 27, 96, 84, 600?

Answer: LCM of 27, 96, 84, 600 is 151200.

2. What are the Factors of 151200?

Answer: Factors of 151200 are . There are integers that are factors of 151200

3. How to Find the LCM of 27, 96, 84, 600 ?

Least Common Multiple of 27, 96, 84, 600.

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(27, 96, 84, 600) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 = 151200.