Least Common Multiple of 324/691, 766/133, 905/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/691, 766/133, 905/538 quickly i.e. 112303260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/691, 766/133, 905/538 is 112303260.

LCM(324/691, 766/133, 905/538) = 112303260

LCM of 324/691, 766/133, 905/538

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 324/691,766/133,905/538

Given numbers are 324/691,766/133,905/538

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 324,766,905

Least Common Multiple of Numerators i.e. LCM of 324,766,905 is 112303260.

GCF of Denominators means GCF of 691,133,538 as per the given fractions.

GCF of 691,133,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,766,905

LCM of Fractions 324/691,766/133,905/538 is 112303260

2 324, 766, 905
162, 383, 905

∴ So the LCM of the given numbers is 2 x 162 x 383 x 905 = 112303260

Least Common Multiple of 324,766,905 with GCF Formula

Least Common Multiple of 324,766,905 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 324,766,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,766,905) = 1

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

GCF(324,766,905) x common factors =1 x 2 = 2

LCM(324,766,905) = ( 324 × 766 × 905 ) / 2

LCM(324,766,905) = 224606520 / 2

LCM(324,766,905) = 112303260


Lets's calculate GCF of 691,133,538

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112303260/1

Therefore the LCM of Fractions 324/691,766/133,905/538 is 112303260

Greatest Common Factor of 691,133,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,133,538 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 691,133,538 . The biggest common factor number is the GCF number.
So the greatest common factor 691,133,538 is 1.


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 324/691, 766/133, 905/538

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 324/691, 766/133, 905/538?

Answer: LCM of Numerators as per given numbers 324/691, 766/133, 905/538 is

LCM of Numerators i.e. for 324,766,905 is 112303260

GCF of denominators i.e. for 691,133,538 is 1.

Thus, LCM of Fractions is 112303260.Finally, LCM of Fractions for 324/691, 766/133, 905/538 is 112303260.