Least Common Multiple of 272, 404, 279, 505

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 272, 404, 279, 505 i.e. 38323440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 272, 404, 279, 505 is 38323440.

LCM(272, 404, 279, 505) = 38323440

LCM of 272, 404, 279, 505

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

LCM of:

Least Common Multiple of 272,404,279,505

Least Common Multiple (LCM) of 272,404,279,505 is 38323440

2 272, 404, 279, 505
2 136, 202, 279, 505
101 68, 101, 279, 505
68, 1, 279, 5

∴ So the LCM of the given numbers is 2 x 2 x 101 x 68 x 1 x 279 x 5 = 38323440

Least Common Multiple of 272,404,279,505 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 272,404,279,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,404,279,505) = 1

common factors(in case of two or more numbers have common factors) = 404

GCF(272,404,279,505) x common factors =1 x 404 = 404

LCM(272,404,279,505) = ( 272 × 404 × 279 × 505 ) / 404

LCM(272,404,279,505) = 15482669760 / 404

LCM(272,404,279,505) = 38323440

∴ Least Common Multiple of 272,404,279,505 is 38323440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 272, 404, 279, 505

1. What is the LCM of 272, 404, 279, 505?

Answer: LCM of 272, 404, 279, 505 is 38323440.

2. What are the Factors of 38323440?

Answer: Factors of 38323440 are . There are integers that are factors of 38323440

3. How to Find the LCM of 272, 404, 279, 505 ?

Least Common Multiple of 272, 404, 279, 505.

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(272, 404, 279, 505) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17 x 31 x 101 = 38323440.