Least Common Multiple of 39, 87, 96, 204

Q: How to Find the LCM of 39, 87, 96, 204 ?

Least Common Multiple of 39, 87, 96, 204 = 615264 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(39, 87, 96, 204) = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17 x 29 = 615264.

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 39, 87, 96, 204 i.e. 615264 smallest integer divisible by all numbers.

Least common multiple (LCM) of 39, 87, 96, 204 is 615264.

LCM(39, 87, 96, 204) = 615264

LCM of 39, 87, 96, 204

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

Least Common Multiple of 39, 87, 96, 204 by common division method
Least Common Multiple of 39, 87, 96, 204 with GCF Formula

Least Common Multiple of 39,87,96,204

Least Common Multiple (LCM) of 39,87,96,204 is 615264

2	39, 87, 96, 204
2	39, 87, 48, 102
3	39, 87, 24, 51
	13, 29, 8, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 29 x 8 x 17 = 615264

Least Common Multiple of 39,87,96,204 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 39,87,96,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,87,96,204) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(39,87,96,204) x common factors =3 x 36 = 108

LCM(39,87,96,204) = ( 39 × 87 × 96 × 204 ) / 108

LCM(39,87,96,204) = 66448512 / 108

LCM(39,87,96,204) = 615264

∴ Least Common Multiple of 39,87,96,204 is 615264

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 39, 87, 96, 204

1. What is the LCM of 39, 87, 96, 204?

Answer: LCM of 39, 87, 96, 204 is 615264.

2. What are the Factors of 615264?

Answer: Factors of 615264 are . There are integers that are factors of 615264

3. How to Find the LCM of 39, 87, 96, 204 ?

Least Common Multiple of 39, 87, 96, 204.

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(39, 87, 96, 204) = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17 x 29 = 615264.