Least Common Multiple of 48/752, 311/679, 791/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/752, 311/679, 791/369 quickly i.e. 11808048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/752, 311/679, 791/369 is 11808048.

LCM(48/752, 311/679, 791/369) = 11808048

LCM of 48/752, 311/679, 791/369

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 48/752,311/679,791/369

Given numbers are 48/752,311/679,791/369

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 48,311,791

Least Common Multiple of Numerators i.e. LCM of 48,311,791 is 11808048.

GCF of Denominators means GCF of 752,679,369 as per the given fractions.

GCF of 752,679,369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,311,791

LCM of Fractions 48/752,311/679,791/369 is 11808048

Given numbers has no common factors except 1. So, there LCM is their product i.e 11808048

Least Common Multiple of 48,311,791 with GCF Formula

Least Common Multiple of 48,311,791 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 48,311,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,311,791) = 1

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

GCF(48,311,791) x common factors =1 x 1 = 1

LCM(48,311,791) = ( 48 × 311 × 791 ) / 1

LCM(48,311,791) = 11808048 / 1

LCM(48,311,791) = 11808048


Lets's calculate GCF of 752,679,369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11808048/1

Therefore the LCM of Fractions 48/752,311/679,791/369 is 11808048

Greatest Common Factor of 752,679,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,679,369 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 752,679,369 . The biggest common factor number is the GCF number.
So the greatest common factor 752,679,369 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 48/752, 311/679, 791/369

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 48/752, 311/679, 791/369?

Answer: LCM of Numerators as per given numbers 48/752, 311/679, 791/369 is

LCM of Numerators i.e. for 48,311,791 is 11808048

GCF of denominators i.e. for 752,679,369 is 1.

Thus, LCM of Fractions is 11808048.Finally, LCM of Fractions for 48/752, 311/679, 791/369 is 11808048.