Least Common Multiple of 1000, 900, 500, 321

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 1000, 900, 500, 321 i.e. 963000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1000, 900, 500, 321 is 963000.

LCM(1000, 900, 500, 321) = 963000

LCM of 1000, 900, 500, 321

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

LCM of:

Least Common Multiple of 1000,900,500,321

Least Common Multiple (LCM) of 1000,900,500,321 is 963000

2 1000, 900, 500, 321
2 500, 450, 250, 321
3 125, 225, 250, 321
5 125, 75, 250, 107
5 25, 15, 50, 107
5 5, 3, 10, 107
1, 3, 2, 107

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 5 x 1 x 3 x 2 x 107 = 963000

Least Common Multiple of 1000,900,500,321 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 1000,900,500,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1000,900,500,321) = 1

common factors(in case of two or more numbers have common factors) = 150000

GCF(1000,900,500,321) x common factors =1 x 150000 = 150000

LCM(1000,900,500,321) = ( 1000 × 900 × 500 × 321 ) / 150000

LCM(1000,900,500,321) = 144450000000 / 150000

LCM(1000,900,500,321) = 963000

∴ Least Common Multiple of 1000,900,500,321 is 963000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 1000, 900, 500, 321

1. What is the LCM of 1000, 900, 500, 321?

Answer: LCM of 1000, 900, 500, 321 is 963000.

2. What are the Factors of 963000?

Answer: Factors of 963000 are . There are integers that are factors of 963000

3. How to Find the LCM of 1000, 900, 500, 321 ?

Least Common Multiple of 1000, 900, 500, 321.

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(1000, 900, 500, 321) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 107 = 963000.