Least Common Multiple of 38, 65, 75, 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 38, 65, 75, 500 i.e. 370500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 38, 65, 75, 500 is 370500.

LCM(38, 65, 75, 500) = 370500

LCM of 38, 65, 75, 500

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

LCM of:

Least Common Multiple of 38,65,75,500

Least Common Multiple (LCM) of 38,65,75,500 is 370500

2 38, 65, 75, 500
5 19, 65, 75, 250
5 19, 13, 15, 50
19, 13, 3, 10

∴ So the LCM of the given numbers is 2 x 5 x 5 x 19 x 13 x 3 x 10 = 370500

Least Common Multiple of 38,65,75,500 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 38,65,75,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,65,75,500) = 1

common factors(in case of two or more numbers have common factors) = 250

GCF(38,65,75,500) x common factors =1 x 250 = 250

LCM(38,65,75,500) = ( 38 × 65 × 75 × 500 ) / 250

LCM(38,65,75,500) = 92625000 / 250

LCM(38,65,75,500) = 370500

∴ Least Common Multiple of 38,65,75,500 is 370500

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 38, 65, 75, 500

1. What is the LCM of 38, 65, 75, 500?

Answer: LCM of 38, 65, 75, 500 is 370500.

2. What are the Factors of 370500?

Answer: Factors of 370500 are . There are integers that are factors of 370500

3. How to Find the LCM of 38, 65, 75, 500 ?

Least Common Multiple of 38, 65, 75, 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(38, 65, 75, 500) = 2 x 2 x 3 x 5 x 5 x 5 x 13 x 19 = 370500.