Least Common Multiple of 732/81, 147/42, 913/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 732/81, 147/42, 913/107 quickly i.e. 32747484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/81, 147/42, 913/107 is 32747484.

LCM(732/81, 147/42, 913/107) = 32747484

LCM of 732/81, 147/42, 913/107

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 732/81,147/42,913/107

Given numbers are 732/81,147/42,913/107

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 732,147,913

Least Common Multiple of Numerators i.e. LCM of 732,147,913 is 32747484.

GCF of Denominators means GCF of 81,42,107 as per the given fractions.

GCF of 81,42,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,147,913

LCM of Fractions 732/81,147/42,913/107 is 32747484

3 732, 147, 913
244, 49, 913

∴ So the LCM of the given numbers is 3 x 244 x 49 x 913 = 32747484

Least Common Multiple of 732,147,913 with GCF Formula

Least Common Multiple of 732,147,913 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 732,147,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,147,913) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(732,147,913) x common factors =1 x 3 = 3

LCM(732,147,913) = ( 732 × 147 × 913 ) / 3

LCM(732,147,913) = 98242452 / 3

LCM(732,147,913) = 32747484


Lets's calculate GCF of 81,42,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32747484/1

Therefore the LCM of Fractions 732/81,147/42,913/107 is 32747484

Greatest Common Factor of 81,42,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,42,107 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 81,42,107 . The biggest common factor number is the GCF number.
So the greatest common factor 81,42,107 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 732/81, 147/42, 913/107

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 732/81, 147/42, 913/107?

Answer: LCM of Numerators as per given numbers 732/81, 147/42, 913/107 is

LCM of Numerators i.e. for 732,147,913 is 32747484

GCF of denominators i.e. for 81,42,107 is 1.

Thus, LCM of Fractions is 32747484.Finally, LCM of Fractions for 732/81, 147/42, 913/107 is 32747484.