Least Common Multiple of 441, 726, 338, 364

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 441, 726, 338, 364 i.e. 36072036 smallest integer divisible by all numbers.

Least common multiple (LCM) of 441, 726, 338, 364 is 36072036.

LCM(441, 726, 338, 364) = 36072036

LCM of 441, 726, 338, 364

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

LCM of:

Least Common Multiple of 441,726,338,364

Least Common Multiple (LCM) of 441,726,338,364 is 36072036

2 441, 726, 338, 364
3 441, 363, 169, 182
7 147, 121, 169, 182
13 21, 121, 169, 26
21, 121, 13, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 21 x 121 x 13 x 2 = 36072036

Least Common Multiple of 441,726,338,364 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 441,726,338,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,726,338,364) = 1

common factors(in case of two or more numbers have common factors) = 1092

GCF(441,726,338,364) x common factors =1 x 1092 = 1092

LCM(441,726,338,364) = ( 441 × 726 × 338 × 364 ) / 1092

LCM(441,726,338,364) = 39390663312 / 1092

LCM(441,726,338,364) = 36072036

∴ Least Common Multiple of 441,726,338,364 is 36072036

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 441, 726, 338, 364

1. What is the LCM of 441, 726, 338, 364?

Answer: LCM of 441, 726, 338, 364 is 36072036.

2. What are the Factors of 36072036?

Answer: Factors of 36072036 are . There are integers that are factors of 36072036

3. How to Find the LCM of 441, 726, 338, 364 ?

Least Common Multiple of 441, 726, 338, 364.

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(441, 726, 338, 364) = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 x 13 x 13 = 36072036.