Least Common Multiple of 79/30, 23/96, 81/26, 29/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/30, 23/96, 81/26, 29/240 quickly i.e. 4268133/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/30, 23/96, 81/26, 29/240 is 4268133/2.

LCM(79/30, 23/96, 81/26, 29/240) = 4268133/2

LCM of 79/30, 23/96, 81/26, 29/240

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 79/30,23/96,81/26,29/240

Given numbers are 79/30,23/96,81/26,29/240

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 79,23,81,29

Least Common Multiple of Numerators i.e. LCM of 79,23,81,29 is 4268133.

GCF of Denominators means GCF of 30,96,26,240 as per the given fractions.

GCF of 30,96,26,240 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,23,81,29

LCM of Fractions 79/30,23/96,81/26,29/240 is 4268133/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 4268133

Least Common Multiple of 79,23,81,29 with GCF Formula

Least Common Multiple of 79,23,81,29 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 79,23,81,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,23,81,29) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,23,81,29) x common factors =1 x 1 = 1

LCM(79,23,81,29) = ( 79 × 23 × 81 × 29 ) / 1

LCM(79,23,81,29) = 4268133 / 1

LCM(79,23,81,29) = 4268133


Lets's calculate GCF of 30,96,26,240

2 30, 96, 26, 240
15, 48, 13, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4268133/2

Therefore the LCM of Fractions 79/30,23/96,81/26,29/240 is 4268133/2

Greatest Common Factor of 30,96,26,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,96,26,240 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 30,96,26,240 . The biggest common factor number is the GCF number.
So the greatest common factor 30,96,26,240 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 79/30, 23/96, 81/26, 29/240

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 79/30, 23/96, 81/26, 29/240?

Answer: LCM of Numerators as per given numbers 79/30, 23/96, 81/26, 29/240 is

LCM of Numerators i.e. for 79,23,81,29 is 4268133

GCF of denominators i.e. for 30,96,26,240 is 2.

Thus, LCM of Fractions is 4268133/2.Finally, LCM of Fractions for 79/30, 23/96, 81/26, 29/240 is 4268133/2.