Least Common Multiple of 585, 168, 930, 918, 540

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 585, 168, 930, 918, 540 i.e. 51793560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 585, 168, 930, 918, 540 is 51793560.

LCM(585, 168, 930, 918, 540) = 51793560

LCM of 585, 168, 930, 918, 540

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

LCM of:

Least Common Multiple of 585,168,930,918,540

Least Common Multiple (LCM) of 585,168,930,918,540 is 51793560

2 585, 168, 930, 918, 540
2 585, 84, 465, 459, 270
3 585, 42, 465, 459, 135
3 195, 14, 155, 153, 45
3 65, 14, 155, 51, 15
5 65, 14, 155, 17, 5
13, 14, 31, 17, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 13 x 14 x 31 x 17 x 1 = 51793560

Least Common Multiple of 585,168,930,918,540 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 585,168,930,918,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,168,930,918,540) = 3

common factors(in case of two or more numbers have common factors) = 291600

GCF(585,168,930,918,540) x common factors =3 x 291600 = 874800

LCM(585,168,930,918,540) = ( 585 × 168 × 930 × 918 × 540 ) / 874800

LCM(585,168,930,918,540) = 45309006288000 / 874800

LCM(585,168,930,918,540) = 51793560

∴ Least Common Multiple of 585,168,930,918,540 is 51793560

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 585, 168, 930, 918, 540

1. What is the LCM of 585, 168, 930, 918, 540?

Answer: LCM of 585, 168, 930, 918, 540 is 51793560.

2. What are the Factors of 51793560?

Answer: Factors of 51793560 are . There are integers that are factors of 51793560

3. How to Find the LCM of 585, 168, 930, 918, 540 ?

Least Common Multiple of 585, 168, 930, 918, 540.

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(585, 168, 930, 918, 540) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 17 x 31 = 51793560.