Least Common Multiple of 37, 27, 90, 960

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 37, 27, 90, 960 i.e. 319680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 37, 27, 90, 960 is 319680.

LCM(37, 27, 90, 960) = 319680

LCM of 37, 27, 90, 960

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

LCM of:

Least Common Multiple of 37,27,90,960

Least Common Multiple (LCM) of 37,27,90,960 is 319680

2 37, 27, 90, 960
3 37, 27, 45, 480
3 37, 9, 15, 160
5 37, 3, 5, 160
37, 3, 1, 32

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 37 x 3 x 1 x 32 = 319680

Least Common Multiple of 37,27,90,960 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 37,27,90,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,27,90,960) = 1

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

GCF(37,27,90,960) x common factors =1 x 270 = 270

LCM(37,27,90,960) = ( 37 × 27 × 90 × 960 ) / 270

LCM(37,27,90,960) = 86313600 / 270

LCM(37,27,90,960) = 319680

∴ Least Common Multiple of 37,27,90,960 is 319680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 37, 27, 90, 960

1. What is the LCM of 37, 27, 90, 960?

Answer: LCM of 37, 27, 90, 960 is 319680.

2. What are the Factors of 319680?

Answer: Factors of 319680 are . There are integers that are factors of 319680

3. How to Find the LCM of 37, 27, 90, 960 ?

Least Common Multiple of 37, 27, 90, 960.

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(37, 27, 90, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 37 = 319680.