Least Common Multiple of 120, 728, 378, 324, 941

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 120, 728, 378, 324, 941 i.e. 277444440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 120, 728, 378, 324, 941 is 277444440.

LCM(120, 728, 378, 324, 941) = 277444440

LCM of 120, 728, 378, 324, 941

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

LCM of:

Least Common Multiple of 120,728,378,324,941

Least Common Multiple (LCM) of 120,728,378,324,941 is 277444440

2 120, 728, 378, 324, 941
2 60, 364, 189, 162, 941
2 30, 182, 189, 81, 941
3 15, 91, 189, 81, 941
3 5, 91, 63, 27, 941
3 5, 91, 21, 9, 941
7 5, 91, 7, 3, 941
5, 13, 1, 3, 941

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 7 x 5 x 13 x 1 x 3 x 941 = 277444440

Least Common Multiple of 120,728,378,324,941 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 120,728,378,324,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,728,378,324,941) = 1

common factors(in case of two or more numbers have common factors) = 36288

GCF(120,728,378,324,941) x common factors =1 x 36288 = 36288

LCM(120,728,378,324,941) = ( 120 × 728 × 378 × 324 × 941 ) / 36288

LCM(120,728,378,324,941) = 10067903838720 / 36288

LCM(120,728,378,324,941) = 277444440

∴ Least Common Multiple of 120,728,378,324,941 is 277444440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 120, 728, 378, 324, 941

1. What is the LCM of 120, 728, 378, 324, 941?

Answer: LCM of 120, 728, 378, 324, 941 is 277444440.

2. What are the Factors of 277444440?

Answer: Factors of 277444440 are . There are integers that are factors of 277444440

3. How to Find the LCM of 120, 728, 378, 324, 941 ?

Least Common Multiple of 120, 728, 378, 324, 941.

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(120, 728, 378, 324, 941) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 13 x 941 = 277444440.