Least Common Multiple of 36/556, 34/718, 826/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/556, 34/718, 826/432 quickly i.e. 126378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/556, 34/718, 826/432 is 126378.

LCM(36/556, 34/718, 826/432) = 126378

LCM of 36/556, 34/718, 826/432

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 36/556,34/718,826/432

Given numbers are 36/556,34/718,826/432

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 36,34,826

Least Common Multiple of Numerators i.e. LCM of 36,34,826 is 252756.

GCF of Denominators means GCF of 556,718,432 as per the given fractions.

GCF of 556,718,432 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,34,826

LCM of Fractions 36/556,34/718,826/432 is 126378

2 36, 34, 826
18, 17, 413

∴ So the LCM of the given numbers is 2 x 18 x 17 x 413 = 252756

Least Common Multiple of 36,34,826 with GCF Formula

Least Common Multiple of 36,34,826 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 36,34,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,34,826) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(36,34,826) x common factors =2 x 2 = 4

LCM(36,34,826) = ( 36 × 34 × 826 ) / 4

LCM(36,34,826) = 1011024 / 4

LCM(36,34,826) = 252756


Lets's calculate GCF of 556,718,432

2 556, 718, 432
278, 359, 216

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252756/2

Therefore the LCM of Fractions 36/556,34/718,826/432 is 126378

Greatest Common Factor of 556,718,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,718,432 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 556,718,432 . The biggest common factor number is the GCF number.
So the greatest common factor 556,718,432 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 36/556, 34/718, 826/432

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 36/556, 34/718, 826/432?

Answer: LCM of Numerators as per given numbers 36/556, 34/718, 826/432 is

LCM of Numerators i.e. for 36,34,826 is 252756

GCF of denominators i.e. for 556,718,432 is 2.

Thus, LCM of Fractions is 126378.Finally, LCM of Fractions for 36/556, 34/718, 826/432 is 126378.