Least Common Multiple of 36, 57, 36, 578

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 36, 57, 36, 578 i.e. 197676 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 57, 36, 578 is 197676.

LCM(36, 57, 36, 578) = 197676

LCM of 36, 57, 36, 578

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

LCM of:

Least Common Multiple of 36,57,36,578

Least Common Multiple (LCM) of 36,57,36,578 is 197676

2 36, 57, 36, 578
2 18, 57, 18, 289
3 9, 57, 9, 289
3 3, 19, 3, 289
1, 19, 1, 289

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 19 x 1 x 289 = 197676

Least Common Multiple of 36,57,36,578 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 36,57,36,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,57,36,578) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(36,57,36,578) x common factors =1 x 216 = 216

LCM(36,57,36,578) = ( 36 × 57 × 36 × 578 ) / 216

LCM(36,57,36,578) = 42698016 / 216

LCM(36,57,36,578) = 197676

∴ Least Common Multiple of 36,57,36,578 is 197676

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 36, 57, 36, 578

1. What is the LCM of 36, 57, 36, 578?

Answer: LCM of 36, 57, 36, 578 is 197676.

2. What are the Factors of 197676?

Answer: Factors of 197676 are . There are integers that are factors of 197676

3. How to Find the LCM of 36, 57, 36, 578 ?

Least Common Multiple of 36, 57, 36, 578.

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(36, 57, 36, 578) = 2 x 2 x 3 x 3 x 17 x 17 x 19 = 197676.