Least Common Multiple of 432, 117, 646, 440, 556

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, 117, 646, 440, 556 i.e. 13867785360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 432, 117, 646, 440, 556 is 13867785360.

LCM(432, 117, 646, 440, 556) = 13867785360

LCM of 432, 117, 646, 440, 556

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

LCM of:

Least Common Multiple of 432,117,646,440,556

Least Common Multiple (LCM) of 432,117,646,440,556 is 13867785360

2 432, 117, 646, 440, 556
2 216, 117, 323, 220, 278
2 108, 117, 323, 110, 139
3 54, 117, 323, 55, 139
3 18, 39, 323, 55, 139
6, 13, 323, 55, 139

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 6 x 13 x 323 x 55 x 139 = 13867785360

Least Common Multiple of 432,117,646,440,556 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 432,117,646,440,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,117,646,440,556) = 1

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

GCF(432,117,646,440,556) x common factors =1 x 576 = 576

LCM(432,117,646,440,556) = ( 432 × 117 × 646 × 440 × 556 ) / 576

LCM(432,117,646,440,556) = 7987844367360 / 576

LCM(432,117,646,440,556) = 13867785360

∴ Least Common Multiple of 432,117,646,440,556 is 13867785360

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 432, 117, 646, 440, 556

1. What is the LCM of 432, 117, 646, 440, 556?

Answer: LCM of 432, 117, 646, 440, 556 is 13867785360.

2. What are the Factors of 13867785360?

Answer: Factors of 13867785360 are . There are integers that are factors of 13867785360

3. How to Find the LCM of 432, 117, 646, 440, 556 ?

Least Common Multiple of 432, 117, 646, 440, 556.

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, 117, 646, 440, 556) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 x 17 x 19 x 139 = 13867785360.