Least Common Multiple of 72, 90, 90, 277

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 72, 90, 90, 277 i.e. 99720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 90, 90, 277 is 99720.

LCM(72, 90, 90, 277) = 99720

LCM of 72, 90, 90, 277

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

LCM of:

Least Common Multiple of 72,90,90,277

Least Common Multiple (LCM) of 72,90,90,277 is 99720

2 72, 90, 90, 277
3 36, 45, 45, 277
3 12, 15, 15, 277
5 4, 5, 5, 277
4, 1, 1, 277

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 4 x 1 x 1 x 277 = 99720

Least Common Multiple of 72,90,90,277 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 72,90,90,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,90,90,277) = 1

common factors(in case of two or more numbers have common factors) = 1620

GCF(72,90,90,277) x common factors =1 x 1620 = 1620

LCM(72,90,90,277) = ( 72 × 90 × 90 × 277 ) / 1620

LCM(72,90,90,277) = 161546400 / 1620

LCM(72,90,90,277) = 99720

∴ Least Common Multiple of 72,90,90,277 is 99720

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 72, 90, 90, 277

1. What is the LCM of 72, 90, 90, 277?

Answer: LCM of 72, 90, 90, 277 is 99720.

2. What are the Factors of 99720?

Answer: Factors of 99720 are . There are integers that are factors of 99720

3. How to Find the LCM of 72, 90, 90, 277 ?

Least Common Multiple of 72, 90, 90, 277.

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(72, 90, 90, 277) = 2 x 2 x 2 x 3 x 3 x 5 x 277 = 99720.