Least Common Multiple of 960, 188, 542, 858, 946

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 960, 188, 542, 858, 946 i.e. 75187020480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 960, 188, 542, 858, 946 is 75187020480.

LCM(960, 188, 542, 858, 946) = 75187020480

LCM of 960, 188, 542, 858, 946

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

LCM of:

Least Common Multiple of 960,188,542,858,946

Least Common Multiple (LCM) of 960,188,542,858,946 is 75187020480

2 960, 188, 542, 858, 946
2 480, 94, 271, 429, 473
3 240, 47, 271, 429, 473
11 80, 47, 271, 143, 473
80, 47, 271, 13, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 80 x 47 x 271 x 13 x 43 = 75187020480

Least Common Multiple of 960,188,542,858,946 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 960,188,542,858,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,188,542,858,946) = 2

common factors(in case of two or more numbers have common factors) = 528

GCF(960,188,542,858,946) x common factors =2 x 528 = 1056

LCM(960,188,542,858,946) = ( 960 × 188 × 542 × 858 × 946 ) / 1056

LCM(960,188,542,858,946) = 79397493626880 / 1056

LCM(960,188,542,858,946) = 75187020480

∴ Least Common Multiple of 960,188,542,858,946 is 75187020480

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 960, 188, 542, 858, 946

1. What is the LCM of 960, 188, 542, 858, 946?

Answer: LCM of 960, 188, 542, 858, 946 is 75187020480.

2. What are the Factors of 75187020480?

Answer: Factors of 75187020480 are . There are integers that are factors of 75187020480

3. How to Find the LCM of 960, 188, 542, 858, 946 ?

Least Common Multiple of 960, 188, 542, 858, 946.

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(960, 188, 542, 858, 946) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 x 43 x 47 x 271 = 75187020480.