Least Common Multiple of 300, 416, 500

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 300, 416, 500 i.e. 156000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 300, 416, 500 is 156000.

LCM(300, 416, 500) = 156000

LCM of 300, 416, 500

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

LCM of:

Least Common Multiple of 300,416,500

Least Common Multiple (LCM) of 300,416,500 is 156000

2 300, 416, 500
2 150, 208, 250
5 75, 104, 125
5 15, 104, 25
3, 104, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 3 x 104 x 5 = 156000

Least Common Multiple of 300,416,500 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 300,416,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,416,500) = 4

common factors(in case of two or more numbers have common factors) = 100

GCF(300,416,500) x common factors =4 x 100 = 400

LCM(300,416,500) = ( 300 × 416 × 500 ) / 400

LCM(300,416,500) = 62400000 / 400

LCM(300,416,500) = 156000

∴ Least Common Multiple of 300,416,500 is 156000

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 300, 416, 500

1. What is the LCM of 300, 416, 500?

Answer: LCM of 300, 416, 500 is 156000.

2. What are the Factors of 156000?

Answer: Factors of 156000 are . There are integers that are factors of 156000

3. How to Find the LCM of 300, 416, 500 ?

Least Common Multiple of 300, 416, 500.

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(300, 416, 500) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 13 = 156000.