Least Common Multiple of 970, 628, 873, 355, 978

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 970, 628, 873, 355, 978 i.e. 31724139060 smallest integer divisible by all numbers.

Least common multiple (LCM) of 970, 628, 873, 355, 978 is 31724139060.

LCM(970, 628, 873, 355, 978) = 31724139060

LCM of 970, 628, 873, 355, 978

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

LCM of:

Least Common Multiple of 970,628,873,355,978

Least Common Multiple (LCM) of 970,628,873,355,978 is 31724139060

2 970, 628, 873, 355, 978
3 485, 314, 873, 355, 489
5 485, 314, 291, 355, 163
97 97, 314, 291, 71, 163
1, 314, 3, 71, 163

∴ So the LCM of the given numbers is 2 x 3 x 5 x 97 x 1 x 314 x 3 x 71 x 163 = 31724139060

Least Common Multiple of 970,628,873,355,978 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 970,628,873,355,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,628,873,355,978) = 1

common factors(in case of two or more numbers have common factors) = 5820

GCF(970,628,873,355,978) x common factors =1 x 5820 = 5820

LCM(970,628,873,355,978) = ( 970 × 628 × 873 × 355 × 978 ) / 5820

LCM(970,628,873,355,978) = 184634489329200 / 5820

LCM(970,628,873,355,978) = 31724139060

∴ Least Common Multiple of 970,628,873,355,978 is 31724139060

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 970, 628, 873, 355, 978

1. What is the LCM of 970, 628, 873, 355, 978?

Answer: LCM of 970, 628, 873, 355, 978 is 31724139060.

2. What are the Factors of 31724139060?

Answer: Factors of 31724139060 are . There are integers that are factors of 31724139060

3. How to Find the LCM of 970, 628, 873, 355, 978 ?

Least Common Multiple of 970, 628, 873, 355, 978.

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(970, 628, 873, 355, 978) = 2 x 2 x 3 x 3 x 5 x 71 x 97 x 157 x 163 = 31724139060.