Least Common Multiple of 76, 18, 382, 729

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 76, 18, 382, 729 i.e. 10582164 smallest integer divisible by all numbers.

Least common multiple (LCM) of 76, 18, 382, 729 is 10582164.

LCM(76, 18, 382, 729) = 10582164

LCM of 76, 18, 382, 729

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

LCM of:

Least Common Multiple of 76,18,382,729

Least Common Multiple (LCM) of 76,18,382,729 is 10582164

2 76, 18, 382, 729
3 38, 9, 191, 729
3 38, 3, 191, 243
38, 1, 191, 81

∴ So the LCM of the given numbers is 2 x 3 x 3 x 38 x 1 x 191 x 81 = 10582164

Least Common Multiple of 76,18,382,729 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 76,18,382,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,18,382,729) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(76,18,382,729) x common factors =1 x 36 = 36

LCM(76,18,382,729) = ( 76 × 18 × 382 × 729 ) / 36

LCM(76,18,382,729) = 380957904 / 36

LCM(76,18,382,729) = 10582164

∴ Least Common Multiple of 76,18,382,729 is 10582164

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 76, 18, 382, 729

1. What is the LCM of 76, 18, 382, 729?

Answer: LCM of 76, 18, 382, 729 is 10582164.

2. What are the Factors of 10582164?

Answer: Factors of 10582164 are . There are integers that are factors of 10582164

3. How to Find the LCM of 76, 18, 382, 729 ?

Least Common Multiple of 76, 18, 382, 729.

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(76, 18, 382, 729) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 19 x 191 = 10582164.