Least Common Multiple of 30, 55, 32, 940

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 30, 55, 32, 940 i.e. 248160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 55, 32, 940 is 248160.

LCM(30, 55, 32, 940) = 248160

LCM of 30, 55, 32, 940

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

LCM of:

Least Common Multiple of 30,55,32,940

Least Common Multiple (LCM) of 30,55,32,940 is 248160

2 30, 55, 32, 940
2 15, 55, 16, 470
5 15, 55, 8, 235
3, 11, 8, 47

∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 11 x 8 x 47 = 248160

Least Common Multiple of 30,55,32,940 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 30,55,32,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,55,32,940) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(30,55,32,940) x common factors =1 x 200 = 200

LCM(30,55,32,940) = ( 30 × 55 × 32 × 940 ) / 200

LCM(30,55,32,940) = 49632000 / 200

LCM(30,55,32,940) = 248160

∴ Least Common Multiple of 30,55,32,940 is 248160

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 30, 55, 32, 940

1. What is the LCM of 30, 55, 32, 940?

Answer: LCM of 30, 55, 32, 940 is 248160.

2. What are the Factors of 248160?

Answer: Factors of 248160 are . There are integers that are factors of 248160

3. How to Find the LCM of 30, 55, 32, 940 ?

Least Common Multiple of 30, 55, 32, 940.

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(30, 55, 32, 940) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 47 = 248160.