Least Common Multiple of 976/771, 528/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/771, 528/807 quickly i.e. 10736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/771, 528/807 is 10736.

LCM(976/771, 528/807) = 10736

LCM of 976/771, 528/807

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 976/771,528/807

Given numbers are 976/771,528/807

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 976,528

Least Common Multiple of Numerators i.e. LCM of 976,528 is 32208.

GCF of Denominators means GCF of 771,807 as per the given fractions.

GCF of 771,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,528

LCM of Fractions 976/771,528/807 is 10736

2 976, 528
2 488, 264
2 244, 132
2 122, 66
61, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 61 x 33 = 32208

Least Common Multiple of 976,528 with GCF Formula

Least Common Multiple of 976,528 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 976,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,528) = 16

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

GCF(976,528) x common factors =16 x 1 = 16

LCM(976,528) = ( 976 × 528 ) / 16

LCM(976,528) = 515328 / 16

LCM(976,528) = 32208


Lets's calculate GCF of 771,807

3 771, 807
257, 269

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32208/3

Therefore the LCM of Fractions 976/771,528/807 is 10736

Greatest Common Factor of 771,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,807 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 771,807 . The biggest common factor number is the GCF number.
So the greatest common factor 771,807 is 3.


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 976/771, 528/807

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 976/771, 528/807?

Answer: LCM of Numerators as per given numbers 976/771, 528/807 is

LCM of Numerators i.e. for 976,528 is 32208

GCF of denominators i.e. for 771,807 is 3.

Thus, LCM of Fractions is 10736.Finally, LCM of Fractions for 976/771, 528/807 is 10736.