Least Common Multiple of 432, 642, 504, 646

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 432, 642, 504, 646 i.e. 104512464 smallest integer divisible by all numbers.

Least common multiple (LCM) of 432, 642, 504, 646 is 104512464.

LCM(432, 642, 504, 646) = 104512464

LCM of 432, 642, 504, 646

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

LCM of:

Least Common Multiple of 432,642,504,646

Least Common Multiple (LCM) of 432,642,504,646 is 104512464

2 432, 642, 504, 646
2 216, 321, 252, 323
2 108, 321, 126, 323
3 54, 321, 63, 323
3 18, 107, 21, 323
6, 107, 7, 323

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 6 x 107 x 7 x 323 = 104512464

Least Common Multiple of 432,642,504,646 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 432,642,504,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,642,504,646) = 2

common factors(in case of two or more numbers have common factors) = 432

GCF(432,642,504,646) x common factors =2 x 432 = 864

LCM(432,642,504,646) = ( 432 × 642 × 504 × 646 ) / 864

LCM(432,642,504,646) = 90298768896 / 864

LCM(432,642,504,646) = 104512464

∴ Least Common Multiple of 432,642,504,646 is 104512464

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 432, 642, 504, 646

1. What is the LCM of 432, 642, 504, 646?

Answer: LCM of 432, 642, 504, 646 is 104512464.

2. What are the Factors of 104512464?

Answer: Factors of 104512464 are . There are integers that are factors of 104512464

3. How to Find the LCM of 432, 642, 504, 646 ?

Least Common Multiple of 432, 642, 504, 646.

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(432, 642, 504, 646) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 x 19 x 107 = 104512464.