Least Common Multiple of 1500, 1146

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 1500, 1146 i.e. 286500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1500, 1146 is 286500.

LCM(1500, 1146) = 286500

LCM of 1500, 1146

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

LCM of:

Least Common Multiple of 1500,1146

Least Common Multiple (LCM) of 1500,1146 is 286500

2 1500, 1146
3 750, 573
250, 191

∴ So the LCM of the given numbers is 2 x 3 x 250 x 191 = 286500

Least Common Multiple of 1500,1146 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 1500,1146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1500,1146) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(1500,1146) x common factors =6 x 1 = 6

LCM(1500,1146) = ( 1500 × 1146 ) / 6

LCM(1500,1146) = 1719000 / 6

LCM(1500,1146) = 286500

∴ Least Common Multiple of 1500,1146 is 286500

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 1500, 1146

1. What is the LCM of 1500, 1146?

Answer: LCM of 1500, 1146 is 286500.

2. What are the Factors of 286500?

Answer: Factors of 286500 are . There are integers that are factors of 286500

3. How to Find the LCM of 1500, 1146 ?

Least Common Multiple of 1500, 1146.

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(1500, 1146) = 2 x 2 x 3 x 5 x 5 x 5 x 191 = 286500.