Least Common Multiple of 72/48, 99/70, 81/40, 76/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/48, 99/70, 81/40, 76/313 quickly i.e. 135432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/48, 99/70, 81/40, 76/313 is 135432.

LCM(72/48, 99/70, 81/40, 76/313) = 135432

LCM of 72/48, 99/70, 81/40, 76/313

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 72/48,99/70,81/40,76/313

Given numbers are 72/48,99/70,81/40,76/313

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 72,99,81,76

Least Common Multiple of Numerators i.e. LCM of 72,99,81,76 is 135432.

GCF of Denominators means GCF of 48,70,40,313 as per the given fractions.

GCF of 48,70,40,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,99,81,76

LCM of Fractions 72/48,99/70,81/40,76/313 is 135432

2 72, 99, 81, 76
2 36, 99, 81, 38
3 18, 99, 81, 19
3 6, 33, 27, 19
2, 11, 9, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 11 x 9 x 19 = 135432

Least Common Multiple of 72,99,81,76 with GCF Formula

Least Common Multiple of 72,99,81,76 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 72,99,81,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,99,81,76) = 1

common factors(in case of two or more numbers have common factors) = 324

GCF(72,99,81,76) x common factors =1 x 324 = 324

LCM(72,99,81,76) = ( 72 × 99 × 81 × 76 ) / 324

LCM(72,99,81,76) = 43879968 / 324

LCM(72,99,81,76) = 135432


Lets's calculate GCF of 48,70,40,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135432/1

Therefore the LCM of Fractions 72/48,99/70,81/40,76/313 is 135432

Greatest Common Factor of 48,70,40,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,70,40,313 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 48,70,40,313 . The biggest common factor number is the GCF number.
So the greatest common factor 48,70,40,313 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 72/48, 99/70, 81/40, 76/313

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 72/48, 99/70, 81/40, 76/313?

Answer: LCM of Numerators as per given numbers 72/48, 99/70, 81/40, 76/313 is

LCM of Numerators i.e. for 72,99,81,76 is 135432

GCF of denominators i.e. for 48,70,40,313 is 1.

Thus, LCM of Fractions is 135432.Finally, LCM of Fractions for 72/48, 99/70, 81/40, 76/313 is 135432.