Least Common Multiple of 36, 69, 59, 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 36, 69, 59, 500 i.e. 6106500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 69, 59, 500 is 6106500.

LCM(36, 69, 59, 500) = 6106500

LCM of 36, 69, 59, 500

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

LCM of:

Least Common Multiple of 36,69,59,500

Least Common Multiple (LCM) of 36,69,59,500 is 6106500

2 36, 69, 59, 500
2 18, 69, 59, 250
3 9, 69, 59, 125
3, 23, 59, 125

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 23 x 59 x 125 = 6106500

Least Common Multiple of 36,69,59,500 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 36,69,59,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,69,59,500) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(36,69,59,500) x common factors =1 x 12 = 12

LCM(36,69,59,500) = ( 36 × 69 × 59 × 500 ) / 12

LCM(36,69,59,500) = 73278000 / 12

LCM(36,69,59,500) = 6106500

∴ Least Common Multiple of 36,69,59,500 is 6106500

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 36, 69, 59, 500

1. What is the LCM of 36, 69, 59, 500?

Answer: LCM of 36, 69, 59, 500 is 6106500.

2. What are the Factors of 6106500?

Answer: Factors of 6106500 are . There are integers that are factors of 6106500

3. How to Find the LCM of 36, 69, 59, 500 ?

Least Common Multiple of 36, 69, 59, 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(36, 69, 59, 500) = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 23 x 59 = 6106500.