Least Common Multiple of 31, 96, 940, 141

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 31, 96, 940, 141 i.e. 699360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 31, 96, 940, 141 is 699360.

LCM(31, 96, 940, 141) = 699360

LCM of 31, 96, 940, 141

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

LCM of:

Least Common Multiple of 31,96,940,141

Least Common Multiple (LCM) of 31,96,940,141 is 699360

2 31, 96, 940, 141
2 31, 48, 470, 141
3 31, 24, 235, 141
47 31, 8, 235, 47
31, 8, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 31 x 8 x 5 x 1 = 699360

Least Common Multiple of 31,96,940,141 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 31,96,940,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,96,940,141) = 1

common factors(in case of two or more numbers have common factors) = 564

GCF(31,96,940,141) x common factors =1 x 564 = 564

LCM(31,96,940,141) = ( 31 × 96 × 940 × 141 ) / 564

LCM(31,96,940,141) = 394439040 / 564

LCM(31,96,940,141) = 699360

∴ Least Common Multiple of 31,96,940,141 is 699360

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 31, 96, 940, 141

1. What is the LCM of 31, 96, 940, 141?

Answer: LCM of 31, 96, 940, 141 is 699360.

2. What are the Factors of 699360?

Answer: Factors of 699360 are . There are integers that are factors of 699360

3. How to Find the LCM of 31, 96, 940, 141 ?

Least Common Multiple of 31, 96, 940, 141.

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(31, 96, 940, 141) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 x 47 = 699360.