Least Common Multiple of 924, 287, 760, 406, 142

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 924, 287, 760, 406, 142 i.e. 14820599640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 924, 287, 760, 406, 142 is 14820599640.

LCM(924, 287, 760, 406, 142) = 14820599640

LCM of 924, 287, 760, 406, 142

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

LCM of:

Least Common Multiple of 924,287,760,406,142

Least Common Multiple (LCM) of 924,287,760,406,142 is 14820599640

2 924, 287, 760, 406, 142
2 462, 287, 380, 203, 71
7 231, 287, 190, 203, 71
33, 41, 190, 29, 71

∴ So the LCM of the given numbers is 2 x 2 x 7 x 33 x 41 x 190 x 29 x 71 = 14820599640

Least Common Multiple of 924,287,760,406,142 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 924,287,760,406,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,287,760,406,142) = 1

common factors(in case of two or more numbers have common factors) = 784

GCF(924,287,760,406,142) x common factors =1 x 784 = 784

LCM(924,287,760,406,142) = ( 924 × 287 × 760 × 406 × 142 ) / 784

LCM(924,287,760,406,142) = 11619350117760 / 784

LCM(924,287,760,406,142) = 14820599640

∴ Least Common Multiple of 924,287,760,406,142 is 14820599640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 924, 287, 760, 406, 142

1. What is the LCM of 924, 287, 760, 406, 142?

Answer: LCM of 924, 287, 760, 406, 142 is 14820599640.

2. What are the Factors of 14820599640?

Answer: Factors of 14820599640 are . There are integers that are factors of 14820599640

3. How to Find the LCM of 924, 287, 760, 406, 142 ?

Least Common Multiple of 924, 287, 760, 406, 142.

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(924, 287, 760, 406, 142) = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 19 x 29 x 41 x 71 = 14820599640.