Least Common Multiple of 5724, 3204

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 5724, 3204 i.e. 509436 smallest integer divisible by all numbers.

Least common multiple (LCM) of 5724, 3204 is 509436.

LCM(5724, 3204) = 509436

LCM of 5724, 3204

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

LCM of:

Least Common Multiple of 5724,3204

Least Common Multiple (LCM) of 5724,3204 is 509436

2 5724, 3204
2 2862, 1602
3 1431, 801
3 477, 267
159, 89

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 159 x 89 = 509436

Least Common Multiple of 5724,3204 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 5724,3204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5724,3204) = 36

common factors(in case of two or more numbers have common factors) = 1

GCF(5724,3204) x common factors =36 x 1 = 36

LCM(5724,3204) = ( 5724 × 3204 ) / 36

LCM(5724,3204) = 18339696 / 36

LCM(5724,3204) = 509436

∴ Least Common Multiple of 5724,3204 is 509436

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 5724, 3204

1. What is the LCM of 5724, 3204?

Answer: LCM of 5724, 3204 is 509436.

2. What are the Factors of 509436?

Answer: Factors of 509436 are . There are integers that are factors of 509436

3. How to Find the LCM of 5724, 3204 ?

Least Common Multiple of 5724, 3204.

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(5724, 3204) = 2 x 2 x 3 x 3 x 3 x 53 x 89 = 509436.