Least Common Multiple of 762, 442, 507, 298, 966

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 762, 442, 507, 298, 966 i.e. 52517342514 smallest integer divisible by all numbers.

Least common multiple (LCM) of 762, 442, 507, 298, 966 is 52517342514.

LCM(762, 442, 507, 298, 966) = 52517342514

LCM of 762, 442, 507, 298, 966

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

LCM of:

Least Common Multiple of 762,442,507,298,966

Least Common Multiple (LCM) of 762,442,507,298,966 is 52517342514

2 762, 442, 507, 298, 966
3 381, 221, 507, 149, 483
13 127, 221, 169, 149, 161
127, 17, 13, 149, 161

∴ So the LCM of the given numbers is 2 x 3 x 13 x 127 x 17 x 13 x 149 x 161 = 52517342514

Least Common Multiple of 762,442,507,298,966 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 762,442,507,298,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,442,507,298,966) = 1

common factors(in case of two or more numbers have common factors) = 936

GCF(762,442,507,298,966) x common factors =1 x 936 = 936

LCM(762,442,507,298,966) = ( 762 × 442 × 507 × 298 × 966 ) / 936

LCM(762,442,507,298,966) = 49156232593104 / 936

LCM(762,442,507,298,966) = 52517342514

∴ Least Common Multiple of 762,442,507,298,966 is 52517342514

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 762, 442, 507, 298, 966

1. What is the LCM of 762, 442, 507, 298, 966?

Answer: LCM of 762, 442, 507, 298, 966 is 52517342514.

2. What are the Factors of 52517342514?

Answer: Factors of 52517342514 are . There are integers that are factors of 52517342514

3. How to Find the LCM of 762, 442, 507, 298, 966 ?

Least Common Multiple of 762, 442, 507, 298, 966.

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(762, 442, 507, 298, 966) = 2 x 3 x 7 x 13 x 13 x 17 x 23 x 127 x 149 = 52517342514.