Least Common Multiple of 766/48, 756/43, 259/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/48, 756/43, 259/772 quickly i.e. 10713276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/48, 756/43, 259/772 is 10713276.

LCM(766/48, 756/43, 259/772) = 10713276

LCM of 766/48, 756/43, 259/772

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 766/48,756/43,259/772

Given numbers are 766/48,756/43,259/772

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 766,756,259

Least Common Multiple of Numerators i.e. LCM of 766,756,259 is 10713276.

GCF of Denominators means GCF of 48,43,772 as per the given fractions.

GCF of 48,43,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,756,259

LCM of Fractions 766/48,756/43,259/772 is 10713276

2 766, 756, 259
7 383, 378, 259
383, 54, 37

∴ So the LCM of the given numbers is 2 x 7 x 383 x 54 x 37 = 10713276

Least Common Multiple of 766,756,259 with GCF Formula

Least Common Multiple of 766,756,259 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 766,756,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,756,259) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(766,756,259) x common factors =1 x 14 = 14

LCM(766,756,259) = ( 766 × 756 × 259 ) / 14

LCM(766,756,259) = 149985864 / 14

LCM(766,756,259) = 10713276


Lets's calculate GCF of 48,43,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10713276/1

Therefore the LCM of Fractions 766/48,756/43,259/772 is 10713276

Greatest Common Factor of 48,43,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,43,772 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 48,43,772 . The biggest common factor number is the GCF number.
So the greatest common factor 48,43,772 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 766/48, 756/43, 259/772

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 766/48, 756/43, 259/772?

Answer: LCM of Numerators as per given numbers 766/48, 756/43, 259/772 is

LCM of Numerators i.e. for 766,756,259 is 10713276

GCF of denominators i.e. for 48,43,772 is 1.

Thus, LCM of Fractions is 10713276.Finally, LCM of Fractions for 766/48, 756/43, 259/772 is 10713276.