Least Common Multiple of 13, 80, 40, 585

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 13, 80, 40, 585 i.e. 9360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 13, 80, 40, 585 is 9360.

LCM(13, 80, 40, 585) = 9360

LCM of 13, 80, 40, 585

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

LCM of:

Least Common Multiple of 13,80,40,585

Least Common Multiple (LCM) of 13,80,40,585 is 9360

2 13, 80, 40, 585
2 13, 40, 20, 585
2 13, 10, 20, 585
5 13, 5, 10, 585
13 13, 1, 2, 117
1, 1, 2, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 13 x 1 x 1 x 2 x 9 = 9360

Least Common Multiple of 13,80,40,585 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 13,80,40,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,80,40,585) = 1

common factors(in case of two or more numbers have common factors) = 2600

GCF(13,80,40,585) x common factors =1 x 2600 = 2600

LCM(13,80,40,585) = ( 13 × 80 × 40 × 585 ) / 2600

LCM(13,80,40,585) = 24336000 / 2600

LCM(13,80,40,585) = 9360

∴ Least Common Multiple of 13,80,40,585 is 9360

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 13, 80, 40, 585

1. What is the LCM of 13, 80, 40, 585?

Answer: LCM of 13, 80, 40, 585 is 9360.

2. What are the Factors of 9360?

Answer: Factors of 9360 are . There are integers that are factors of 9360

3. How to Find the LCM of 13, 80, 40, 585 ?

Least Common Multiple of 13, 80, 40, 585.

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(13, 80, 40, 585) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 = 9360.