Least Common Multiple of 58/76, 12/11, 48/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/76, 12/11, 48/721 quickly i.e. 1392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/76, 12/11, 48/721 is 1392.

LCM(58/76, 12/11, 48/721) = 1392

LCM of 58/76, 12/11, 48/721

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 58/76,12/11,48/721

Given numbers are 58/76,12/11,48/721

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 58,12,48

Least Common Multiple of Numerators i.e. LCM of 58,12,48 is 1392.

GCF of Denominators means GCF of 76,11,721 as per the given fractions.

GCF of 76,11,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,12,48

LCM of Fractions 58/76,12/11,48/721 is 1392

2 58, 12, 48
2 29, 6, 24
3 29, 3, 12
29, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 1 x 4 = 1392

Least Common Multiple of 58,12,48 with GCF Formula

Least Common Multiple of 58,12,48 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 58,12,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,12,48) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(58,12,48) x common factors =2 x 12 = 24

LCM(58,12,48) = ( 58 × 12 × 48 ) / 24

LCM(58,12,48) = 33408 / 24

LCM(58,12,48) = 1392


Lets's calculate GCF of 76,11,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1392/1

Therefore the LCM of Fractions 58/76,12/11,48/721 is 1392

Greatest Common Factor of 76,11,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,11,721 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 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 76,11,721 . The biggest common factor number is the GCF number.
So the greatest common factor 76,11,721 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 58/76, 12/11, 48/721

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 58/76, 12/11, 48/721?

Answer: LCM of Numerators as per given numbers 58/76, 12/11, 48/721 is

LCM of Numerators i.e. for 58,12,48 is 1392

GCF of denominators i.e. for 76,11,721 is 1.

Thus, LCM of Fractions is 1392.Finally, LCM of Fractions for 58/76, 12/11, 48/721 is 1392.