Least Common Multiple of 976, 645, 768, 940, 949

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 976, 645, 768, 940, 949 i.e. 449255688960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 976, 645, 768, 940, 949 is 449255688960.

LCM(976, 645, 768, 940, 949) = 449255688960

LCM of 976, 645, 768, 940, 949

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

LCM of:

Least Common Multiple of 976,645,768,940,949

Least Common Multiple (LCM) of 976,645,768,940,949 is 449255688960

2 976, 645, 768, 940, 949
2 488, 645, 384, 470, 949
2 244, 645, 192, 235, 949
2 122, 645, 96, 235, 949
3 61, 645, 48, 235, 949
5 61, 215, 16, 235, 949
61, 43, 16, 47, 949

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 61 x 43 x 16 x 47 x 949 = 449255688960

Least Common Multiple of 976,645,768,940,949 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 976,645,768,940,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,645,768,940,949) = 1

common factors(in case of two or more numbers have common factors) = 960

GCF(976,645,768,940,949) x common factors =1 x 960 = 960

LCM(976,645,768,940,949) = ( 976 × 645 × 768 × 940 × 949 ) / 960

LCM(976,645,768,940,949) = 431285461401600 / 960

LCM(976,645,768,940,949) = 449255688960

∴ Least Common Multiple of 976,645,768,940,949 is 449255688960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 976, 645, 768, 940, 949

1. What is the LCM of 976, 645, 768, 940, 949?

Answer: LCM of 976, 645, 768, 940, 949 is 449255688960.

2. What are the Factors of 449255688960?

Answer: Factors of 449255688960 are . There are integers that are factors of 449255688960

3. How to Find the LCM of 976, 645, 768, 940, 949 ?

Least Common Multiple of 976, 645, 768, 940, 949.

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(976, 645, 768, 940, 949) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 43 x 47 x 61 x 73 = 449255688960.