Least Common Multiple of 988, 9000, 305

Q: How to Find the LCM of 988, 9000, 305 ?

Least Common Multiple of 988, 9000, 305 = 135603000 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(988, 9000, 305) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13 x 19 x 61 = 135603000.

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 988, 9000, 305 i.e. 135603000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 988, 9000, 305 is 135603000.

LCM(988, 9000, 305) = 135603000

LCM of 988, 9000, 305

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

Least Common Multiple of 988, 9000, 305 by common division method
Least Common Multiple of 988, 9000, 305 with GCF Formula

Least Common Multiple of 988,9000,305

Least Common Multiple (LCM) of 988,9000,305 is 135603000

2	988, 9000, 305
2	494, 4500, 305
5	247, 2250, 305
	247, 450, 61

∴ So the LCM of the given numbers is 2 x 2 x 5 x 247 x 450 x 61 = 135603000

Least Common Multiple of 988,9000,305 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 988,9000,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,9000,305) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(988,9000,305) x common factors =1 x 20 = 20

LCM(988,9000,305) = ( 988 × 9000 × 305 ) / 20

LCM(988,9000,305) = 2712060000 / 20

LCM(988,9000,305) = 135603000

∴ Least Common Multiple of 988,9000,305 is 135603000

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 988, 9000, 305

1. What is the LCM of 988, 9000, 305?

Answer: LCM of 988, 9000, 305 is 135603000.

2. What are the Factors of 135603000?

Answer: Factors of 135603000 are . There are integers that are factors of 135603000

3. How to Find the LCM of 988, 9000, 305 ?

Least Common Multiple of 988, 9000, 305.

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(988, 9000, 305) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13 x 19 x 61 = 135603000.