Least Common Multiple of 32/45, 133/76, 217/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/45, 133/76, 217/921 quickly i.e. 131936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/45, 133/76, 217/921 is 131936.

LCM(32/45, 133/76, 217/921) = 131936

LCM of 32/45, 133/76, 217/921

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 32/45,133/76,217/921

Given numbers are 32/45,133/76,217/921

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 32,133,217

Least Common Multiple of Numerators i.e. LCM of 32,133,217 is 131936.

GCF of Denominators means GCF of 45,76,921 as per the given fractions.

GCF of 45,76,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,133,217

LCM of Fractions 32/45,133/76,217/921 is 131936

7 32, 133, 217
32, 19, 31

∴ So the LCM of the given numbers is 7 x 32 x 19 x 31 = 131936

Least Common Multiple of 32,133,217 with GCF Formula

Least Common Multiple of 32,133,217 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 32,133,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,133,217) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(32,133,217) x common factors =1 x 7 = 7

LCM(32,133,217) = ( 32 × 133 × 217 ) / 7

LCM(32,133,217) = 923552 / 7

LCM(32,133,217) = 131936


Lets's calculate GCF of 45,76,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131936/1

Therefore the LCM of Fractions 32/45,133/76,217/921 is 131936

Greatest Common Factor of 45,76,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,76,921 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 45,76,921 . The biggest common factor number is the GCF number.
So the greatest common factor 45,76,921 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 32/45, 133/76, 217/921

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 32/45, 133/76, 217/921?

Answer: LCM of Numerators as per given numbers 32/45, 133/76, 217/921 is

LCM of Numerators i.e. for 32,133,217 is 131936

GCF of denominators i.e. for 45,76,921 is 1.

Thus, LCM of Fractions is 131936.Finally, LCM of Fractions for 32/45, 133/76, 217/921 is 131936.