Least Common Multiple of 76/448, 945/952, 538/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/448, 945/952, 538/791 quickly i.e. 2759940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/448, 945/952, 538/791 is 2759940.

LCM(76/448, 945/952, 538/791) = 2759940

LCM of 76/448, 945/952, 538/791

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 76/448,945/952,538/791

Given numbers are 76/448,945/952,538/791

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 76,945,538

Least Common Multiple of Numerators i.e. LCM of 76,945,538 is 19319580.

GCF of Denominators means GCF of 448,952,791 as per the given fractions.

GCF of 448,952,791 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,945,538

LCM of Fractions 76/448,945/952,538/791 is 2759940

2 76, 945, 538
38, 945, 269

∴ So the LCM of the given numbers is 2 x 38 x 945 x 269 = 19319580

Least Common Multiple of 76,945,538 with GCF Formula

Least Common Multiple of 76,945,538 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 76,945,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,945,538) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,945,538) x common factors =1 x 2 = 2

LCM(76,945,538) = ( 76 × 945 × 538 ) / 2

LCM(76,945,538) = 38639160 / 2

LCM(76,945,538) = 19319580


Lets's calculate GCF of 448,952,791

7 448, 952, 791
64, 136, 113

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19319580/7

Therefore the LCM of Fractions 76/448,945/952,538/791 is 2759940

Greatest Common Factor of 448,952,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,952,791 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 448,952,791 . The biggest common factor number is the GCF number.
So the greatest common factor 448,952,791 is 7.


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 76/448, 945/952, 538/791

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 76/448, 945/952, 538/791?

Answer: LCM of Numerators as per given numbers 76/448, 945/952, 538/791 is

LCM of Numerators i.e. for 76,945,538 is 19319580

GCF of denominators i.e. for 448,952,791 is 7.

Thus, LCM of Fractions is 2759940.Finally, LCM of Fractions for 76/448, 945/952, 538/791 is 2759940.