Least Common Multiple of 90, 95, 57, 999

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, 95, 57, 999 i.e. 189810 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 95, 57, 999 is 189810.

LCM(90, 95, 57, 999) = 189810

LCM of 90, 95, 57, 999

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

LCM of:

Least Common Multiple of 90,95,57,999

Least Common Multiple (LCM) of 90,95,57,999 is 189810

3 90, 95, 57, 999
3 30, 95, 19, 333
5 10, 95, 19, 111
19 2, 19, 19, 111
2, 1, 1, 111

∴ So the LCM of the given numbers is 3 x 3 x 5 x 19 x 2 x 1 x 1 x 111 = 189810

Least Common Multiple of 90,95,57,999 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 90,95,57,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,95,57,999) = 1

common factors(in case of two or more numbers have common factors) = 2565

GCF(90,95,57,999) x common factors =1 x 2565 = 2565

LCM(90,95,57,999) = ( 90 × 95 × 57 × 999 ) / 2565

LCM(90,95,57,999) = 486862650 / 2565

LCM(90,95,57,999) = 189810

∴ Least Common Multiple of 90,95,57,999 is 189810

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 90, 95, 57, 999

1. What is the LCM of 90, 95, 57, 999?

Answer: LCM of 90, 95, 57, 999 is 189810.

2. What are the Factors of 189810?

Answer: Factors of 189810 are . There are integers that are factors of 189810

3. How to Find the LCM of 90, 95, 57, 999 ?

Least Common Multiple of 90, 95, 57, 999.

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, 95, 57, 999) = 2 x 3 x 3 x 3 x 5 x 19 x 37 = 189810.