Least Common Multiple of 990, 999, 993, 109, 144

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 990, 999, 993, 109, 144 i.e. 31717770480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 990, 999, 993, 109, 144 is 31717770480.

LCM(990, 999, 993, 109, 144) = 31717770480

LCM of 990, 999, 993, 109, 144

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

LCM of:

Least Common Multiple of 990,999,993,109,144

Least Common Multiple (LCM) of 990,999,993,109,144 is 31717770480

2 990, 999, 993, 109, 144
3 495, 999, 993, 109, 72
3 165, 333, 331, 109, 24
55, 111, 331, 109, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 55 x 111 x 331 x 109 x 8 = 31717770480

Least Common Multiple of 990,999,993,109,144 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 990,999,993,109,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,999,993,109,144) = 1

common factors(in case of two or more numbers have common factors) = 486

GCF(990,999,993,109,144) x common factors =1 x 486 = 486

LCM(990,999,993,109,144) = ( 990 × 999 × 993 × 109 × 144 ) / 486

LCM(990,999,993,109,144) = 15414836453280 / 486

LCM(990,999,993,109,144) = 31717770480

∴ Least Common Multiple of 990,999,993,109,144 is 31717770480

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 990, 999, 993, 109, 144

1. What is the LCM of 990, 999, 993, 109, 144?

Answer: LCM of 990, 999, 993, 109, 144 is 31717770480.

2. What are the Factors of 31717770480?

Answer: Factors of 31717770480 are . There are integers that are factors of 31717770480

3. How to Find the LCM of 990, 999, 993, 109, 144 ?

Least Common Multiple of 990, 999, 993, 109, 144.

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(990, 999, 993, 109, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 37 x 109 x 331 = 31717770480.