Least Common Multiple of 600, 472, 366, 384

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 600, 472, 366, 384 i.e. 34550400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 600, 472, 366, 384 is 34550400.

LCM(600, 472, 366, 384) = 34550400

LCM of 600, 472, 366, 384

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

LCM of:

Least Common Multiple of 600,472,366,384

Least Common Multiple (LCM) of 600,472,366,384 is 34550400

2 600, 472, 366, 384
2 300, 236, 183, 192
2 150, 118, 183, 96
3 75, 59, 183, 48
25, 59, 61, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 25 x 59 x 61 x 16 = 34550400

Least Common Multiple of 600,472,366,384 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 600,472,366,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,472,366,384) = 2

common factors(in case of two or more numbers have common factors) = 576

GCF(600,472,366,384) x common factors =2 x 576 = 1152

LCM(600,472,366,384) = ( 600 × 472 × 366 × 384 ) / 1152

LCM(600,472,366,384) = 39802060800 / 1152

LCM(600,472,366,384) = 34550400

∴ Least Common Multiple of 600,472,366,384 is 34550400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 600, 472, 366, 384

1. What is the LCM of 600, 472, 366, 384?

Answer: LCM of 600, 472, 366, 384 is 34550400.

2. What are the Factors of 34550400?

Answer: Factors of 34550400 are . There are integers that are factors of 34550400

3. How to Find the LCM of 600, 472, 366, 384 ?

Least Common Multiple of 600, 472, 366, 384.

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(600, 472, 366, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 59 x 61 = 34550400.