Least Common Multiple of 506, 368, 730, 446, 390

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, 368, 730, 446, 390 i.e. 12849991440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 506, 368, 730, 446, 390 is 12849991440.

LCM(506, 368, 730, 446, 390) = 12849991440

LCM of 506, 368, 730, 446, 390

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

LCM of:

Least Common Multiple of 506,368,730,446,390

Least Common Multiple (LCM) of 506,368,730,446,390 is 12849991440

2 506, 368, 730, 446, 390
5 253, 184, 365, 223, 195
23 253, 184, 73, 223, 39
11, 8, 73, 223, 39

∴ So the LCM of the given numbers is 2 x 5 x 23 x 11 x 8 x 73 x 223 x 39 = 12849991440

Least Common Multiple of 506,368,730,446,390 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 506,368,730,446,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,368,730,446,390) = 2

common factors(in case of two or more numbers have common factors) = 920

GCF(506,368,730,446,390) x common factors =2 x 920 = 1840

LCM(506,368,730,446,390) = ( 506 × 368 × 730 × 446 × 390 ) / 1840

LCM(506,368,730,446,390) = 23643984249600 / 1840

LCM(506,368,730,446,390) = 12849991440

∴ Least Common Multiple of 506,368,730,446,390 is 12849991440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 506, 368, 730, 446, 390

1. What is the LCM of 506, 368, 730, 446, 390?

Answer: LCM of 506, 368, 730, 446, 390 is 12849991440.

2. What are the Factors of 12849991440?

Answer: Factors of 12849991440 are . There are integers that are factors of 12849991440

3. How to Find the LCM of 506, 368, 730, 446, 390 ?

Least Common Multiple of 506, 368, 730, 446, 390.

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, 368, 730, 446, 390) = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 x 23 x 73 x 223 = 12849991440.