Least Common Multiple of 90, 57, 996

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 90, 57, 996 i.e. 283860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 57, 996 is 283860.

LCM(90, 57, 996) = 283860

LCM of 90, 57, 996

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

LCM of:

Least Common Multiple of 90,57,996

Least Common Multiple (LCM) of 90,57,996 is 283860

2 90, 57, 996
3 45, 57, 498
15, 19, 166

∴ So the LCM of the given numbers is 2 x 3 x 15 x 19 x 166 = 283860

Least Common Multiple of 90,57,996 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 90,57,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,57,996) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(90,57,996) x common factors =3 x 6 = 18

LCM(90,57,996) = ( 90 × 57 × 996 ) / 18

LCM(90,57,996) = 5109480 / 18

LCM(90,57,996) = 283860

∴ Least Common Multiple of 90,57,996 is 283860

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 90, 57, 996

1. What is the LCM of 90, 57, 996?

Answer: LCM of 90, 57, 996 is 283860.

2. What are the Factors of 283860?

Answer: Factors of 283860 are . There are integers that are factors of 283860

3. How to Find the LCM of 90, 57, 996 ?

Least Common Multiple of 90, 57, 996.

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(90, 57, 996) = 2 x 2 x 3 x 3 x 5 x 19 x 83 = 283860.