Least Common Multiple of 46/76, 72/39, 79/14, 72/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/76, 72/39, 79/14, 72/716 quickly i.e. 130824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/76, 72/39, 79/14, 72/716 is 130824.

LCM(46/76, 72/39, 79/14, 72/716) = 130824

LCM of 46/76, 72/39, 79/14, 72/716

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 46/76,72/39,79/14,72/716

Given numbers are 46/76,72/39,79/14,72/716

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 46,72,79,72

Least Common Multiple of Numerators i.e. LCM of 46,72,79,72 is 130824.

GCF of Denominators means GCF of 76,39,14,716 as per the given fractions.

GCF of 76,39,14,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,72,79,72

LCM of Fractions 46/76,72/39,79/14,72/716 is 130824

2 46, 72, 79, 72
2 23, 36, 79, 36
2 23, 18, 79, 18
3 23, 9, 79, 9
3 23, 3, 79, 3
23, 1, 79, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 23 x 1 x 79 x 1 = 130824

Least Common Multiple of 46,72,79,72 with GCF Formula

Least Common Multiple of 46,72,79,72 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 46,72,79,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,72,79,72) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(46,72,79,72) x common factors =1 x 144 = 144

LCM(46,72,79,72) = ( 46 × 72 × 79 × 72 ) / 144

LCM(46,72,79,72) = 18838656 / 144

LCM(46,72,79,72) = 130824


Lets's calculate GCF of 76,39,14,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130824/1

Therefore the LCM of Fractions 46/76,72/39,79/14,72/716 is 130824

Greatest Common Factor of 76,39,14,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,39,14,716 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 76,39,14,716 . The biggest common factor number is the GCF number.
So the greatest common factor 76,39,14,716 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 46/76, 72/39, 79/14, 72/716

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 46/76, 72/39, 79/14, 72/716?

Answer: LCM of Numerators as per given numbers 46/76, 72/39, 79/14, 72/716 is

LCM of Numerators i.e. for 46,72,79,72 is 130824

GCF of denominators i.e. for 76,39,14,716 is 1.

Thus, LCM of Fractions is 130824.Finally, LCM of Fractions for 46/76, 72/39, 79/14, 72/716 is 130824.