Least Common Multiple of 90, 66, 990, 565

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, 66, 990, 565 i.e. 111870 smallest integer divisible by all numbers.

Least common multiple (LCM) of 90, 66, 990, 565 is 111870.

LCM(90, 66, 990, 565) = 111870

LCM of 90, 66, 990, 565

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

LCM of:

Least Common Multiple of 90,66,990,565

Least Common Multiple (LCM) of 90,66,990,565 is 111870

2 90, 66, 990, 565
3 45, 33, 495, 565
3 15, 11, 165, 565
5 5, 11, 55, 565
11 1, 11, 11, 113
1, 1, 1, 113

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 11 x 1 x 1 x 1 x 113 = 111870

Least Common Multiple of 90,66,990,565 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 90,66,990,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,66,990,565) = 1

common factors(in case of two or more numbers have common factors) = 29700

GCF(90,66,990,565) x common factors =1 x 29700 = 29700

LCM(90,66,990,565) = ( 90 × 66 × 990 × 565 ) / 29700

LCM(90,66,990,565) = 3322539000 / 29700

LCM(90,66,990,565) = 111870

∴ Least Common Multiple of 90,66,990,565 is 111870

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 90, 66, 990, 565

1. What is the LCM of 90, 66, 990, 565?

Answer: LCM of 90, 66, 990, 565 is 111870.

2. What are the Factors of 111870?

Answer: Factors of 111870 are . There are integers that are factors of 111870

3. How to Find the LCM of 90, 66, 990, 565 ?

Least Common Multiple of 90, 66, 990, 565.

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, 66, 990, 565) = 2 x 3 x 3 x 5 x 11 x 113 = 111870.