Least Common Multiple of 39, 90, 81, 480

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 39, 90, 81, 480 i.e. 168480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 39, 90, 81, 480 is 168480.

LCM(39, 90, 81, 480) = 168480

LCM of 39, 90, 81, 480

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

LCM of:

Least Common Multiple of 39,90,81,480

Least Common Multiple (LCM) of 39,90,81,480 is 168480

2 39, 90, 81, 480
3 39, 45, 81, 240
3 13, 15, 27, 80
5 13, 5, 9, 80
13, 1, 9, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 13 x 1 x 9 x 16 = 168480

Least Common Multiple of 39,90,81,480 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 39,90,81,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,90,81,480) = 3

common factors(in case of two or more numbers have common factors) = 270

GCF(39,90,81,480) x common factors =3 x 270 = 810

LCM(39,90,81,480) = ( 39 × 90 × 81 × 480 ) / 810

LCM(39,90,81,480) = 136468800 / 810

LCM(39,90,81,480) = 168480

∴ Least Common Multiple of 39,90,81,480 is 168480

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 39, 90, 81, 480

1. What is the LCM of 39, 90, 81, 480?

Answer: LCM of 39, 90, 81, 480 is 168480.

2. What are the Factors of 168480?

Answer: Factors of 168480 are . There are integers that are factors of 168480

3. How to Find the LCM of 39, 90, 81, 480 ?

Least Common Multiple of 39, 90, 81, 480.

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(39, 90, 81, 480) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 = 168480.