Least Common Multiple of 960, 901, 918, 546

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, 901, 918, 546 i.e. 708402240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 960, 901, 918, 546 is 708402240.

LCM(960, 901, 918, 546) = 708402240

LCM of 960, 901, 918, 546

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

LCM of:

Least Common Multiple of 960,901,918,546

Least Common Multiple (LCM) of 960,901,918,546 is 708402240

2 960, 901, 918, 546
3 480, 901, 459, 273
17 160, 901, 153, 91
160, 53, 9, 91

∴ So the LCM of the given numbers is 2 x 3 x 17 x 160 x 53 x 9 x 91 = 708402240

Least Common Multiple of 960,901,918,546 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 960,901,918,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,901,918,546) = 1

common factors(in case of two or more numbers have common factors) = 612

GCF(960,901,918,546) x common factors =1 x 612 = 612

LCM(960,901,918,546) = ( 960 × 901 × 918 × 546 ) / 612

LCM(960,901,918,546) = 433542170880 / 612

LCM(960,901,918,546) = 708402240

∴ Least Common Multiple of 960,901,918,546 is 708402240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 960, 901, 918, 546

1. What is the LCM of 960, 901, 918, 546?

Answer: LCM of 960, 901, 918, 546 is 708402240.

2. What are the Factors of 708402240?

Answer: Factors of 708402240 are . There are integers that are factors of 708402240

3. How to Find the LCM of 960, 901, 918, 546 ?

Least Common Multiple of 960, 901, 918, 546.

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, 901, 918, 546) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 17 x 53 = 708402240.