Least Common Multiple of 77/916, 3526/9760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/916, 3526/9760 quickly i.e. 271502/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/916, 3526/9760 is 271502/4.

LCM(77/916, 3526/9760) = 271502/4

LCM of 77/916, 3526/9760

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 77/916,3526/9760

Given numbers are 77/916,3526/9760

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 77,3526

Least Common Multiple of Numerators i.e. LCM of 77,3526 is 271502.

GCF of Denominators means GCF of 916,9760 as per the given fractions.

GCF of 916,9760 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,3526

LCM of Fractions 77/916,3526/9760 is 271502/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 271502

Least Common Multiple of 77,3526 with GCF Formula

Least Common Multiple of 77,3526 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 77,3526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,3526) = 1

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

GCF(77,3526) x common factors =1 x 1 = 1

LCM(77,3526) = ( 77 × 3526 ) / 1

LCM(77,3526) = 271502 / 1

LCM(77,3526) = 271502


Lets's calculate GCF of 916,9760

2 916, 9760
2 458, 4880
229, 2440

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271502/4

Therefore the LCM of Fractions 77/916,3526/9760 is 271502/4

Greatest Common Factor of 916,9760 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,9760 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 9760

List of positive integer factors of 9760 that divides 9760 without a remainder.

1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760

Greatest Common Factor

We found the factors 916,9760 . The biggest common factor number is the GCF number.
So the greatest common factor 916,9760 is 4.


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 77/916, 3526/9760

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 77/916, 3526/9760?

Answer: LCM of Numerators as per given numbers 77/916, 3526/9760 is

LCM of Numerators i.e. for 77,3526 is 271502

GCF of denominators i.e. for 916,9760 is 4.

Thus, LCM of Fractions is 271502/4.Finally, LCM of Fractions for 77/916, 3526/9760 is 271502/4.