Least Common Multiple of 729, 365, 800, 756, 813

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 729, 365, 800, 756, 813 i.e. 80762119200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 729, 365, 800, 756, 813 is 80762119200.

LCM(729, 365, 800, 756, 813) = 80762119200

LCM of 729, 365, 800, 756, 813

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

LCM of:

Least Common Multiple of 729,365,800,756,813

Least Common Multiple (LCM) of 729,365,800,756,813 is 80762119200

2 729, 365, 800, 756, 813
2 729, 365, 400, 378, 813
3 729, 365, 200, 189, 813
3 243, 365, 200, 63, 271
3 81, 365, 200, 21, 271
5 27, 365, 200, 7, 271
27, 73, 40, 7, 271

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 27 x 73 x 40 x 7 x 271 = 80762119200

Least Common Multiple of 729,365,800,756,813 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 729,365,800,756,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,365,800,756,813) = 1

common factors(in case of two or more numbers have common factors) = 1620

GCF(729,365,800,756,813) x common factors =1 x 1620 = 1620

LCM(729,365,800,756,813) = ( 729 × 365 × 800 × 756 × 813 ) / 1620

LCM(729,365,800,756,813) = 130834633104000 / 1620

LCM(729,365,800,756,813) = 80762119200

∴ Least Common Multiple of 729,365,800,756,813 is 80762119200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 729, 365, 800, 756, 813

1. What is the LCM of 729, 365, 800, 756, 813?

Answer: LCM of 729, 365, 800, 756, 813 is 80762119200.

2. What are the Factors of 80762119200?

Answer: Factors of 80762119200 are . There are integers that are factors of 80762119200

3. How to Find the LCM of 729, 365, 800, 756, 813 ?

Least Common Multiple of 729, 365, 800, 756, 813.

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(729, 365, 800, 756, 813) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 73 x 271 = 80762119200.