Least Common Multiple of 1000, 900, 600, 936

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, 600, 936 i.e. 117000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1000, 900, 600, 936 is 117000.

LCM(1000, 900, 600, 936) = 117000

LCM of 1000, 900, 600, 936

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

LCM of:

Least Common Multiple of 1000,900,600,936

Least Common Multiple (LCM) of 1000,900,600,936 is 117000

2 1000, 900, 600, 936
2 500, 450, 300, 468
2 250, 225, 150, 234
3 125, 225, 75, 117
3 125, 25, 75, 39
5 125, 25, 25, 13
5 5, 5, 25, 13
1, 1, 5, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 5 x 1 x 1 x 5 x 13 = 117000

Least Common Multiple of 1000,900,600,936 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 1000,900,600,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1000,900,600,936) = 4

common factors(in case of two or more numbers have common factors) = 1080000

GCF(1000,900,600,936) x common factors =4 x 1080000 = 4320000

LCM(1000,900,600,936) = ( 1000 × 900 × 600 × 936 ) / 4320000

LCM(1000,900,600,936) = 505440000000 / 4320000

LCM(1000,900,600,936) = 117000

∴ Least Common Multiple of 1000,900,600,936 is 117000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 1000, 900, 600, 936

1. What is the LCM of 1000, 900, 600, 936?

Answer: LCM of 1000, 900, 600, 936 is 117000.

2. What are the Factors of 117000?

Answer: Factors of 117000 are . There are integers that are factors of 117000

3. How to Find the LCM of 1000, 900, 600, 936 ?

Least Common Multiple of 1000, 900, 600, 936.

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, 600, 936) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 13 = 117000.