Least Common Multiple of 506, 714, 359, 377, 939

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 506, 714, 359, 377, 939 i.e. 7652421254478 smallest integer divisible by all numbers.

Least common multiple (LCM) of 506, 714, 359, 377, 939 is 7652421254478.

LCM(506, 714, 359, 377, 939) = 7652421254478

LCM of 506, 714, 359, 377, 939

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

LCM of:

Least Common Multiple of 506,714,359,377,939

Least Common Multiple (LCM) of 506,714,359,377,939 is 7652421254478

2 506, 714, 359, 377, 939
3 253, 357, 359, 377, 939
253, 119, 359, 377, 313

∴ So the LCM of the given numbers is 2 x 3 x 253 x 119 x 359 x 377 x 313 = 7652421254478

Least Common Multiple of 506,714,359,377,939 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 506,714,359,377,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,714,359,377,939) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(506,714,359,377,939) x common factors =1 x 6 = 6

LCM(506,714,359,377,939) = ( 506 × 714 × 359 × 377 × 939 ) / 6

LCM(506,714,359,377,939) = 45914527526868 / 6

LCM(506,714,359,377,939) = 7652421254478

∴ Least Common Multiple of 506,714,359,377,939 is 7652421254478

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 506, 714, 359, 377, 939

1. What is the LCM of 506, 714, 359, 377, 939?

Answer: LCM of 506, 714, 359, 377, 939 is 7652421254478.

2. What are the Factors of 7652421254478?

Answer: Factors of 7652421254478 are . There are integers that are factors of 7652421254478

3. How to Find the LCM of 506, 714, 359, 377, 939 ?

Least Common Multiple of 506, 714, 359, 377, 939.

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(506, 714, 359, 377, 939) = 2 x 3 x 7 x 11 x 13 x 17 x 23 x 29 x 313 x 359 = 7652421254478.