Least Common Multiple of 96/774, 4879/5516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/774, 4879/5516 quickly i.e. 234192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/774, 4879/5516 is 234192.

LCM(96/774, 4879/5516) = 234192

LCM of 96/774, 4879/5516

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 96/774,4879/5516

Given numbers are 96/774,4879/5516

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 96,4879

Least Common Multiple of Numerators i.e. LCM of 96,4879 is 468384.

GCF of Denominators means GCF of 774,5516 as per the given fractions.

GCF of 774,5516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,4879

LCM of Fractions 96/774,4879/5516 is 234192

Given numbers has no common factors except 1. So, there LCM is their product i.e 468384

Least Common Multiple of 96,4879 with GCF Formula

Least Common Multiple of 96,4879 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 96,4879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,4879) = 1

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

GCF(96,4879) x common factors =1 x 1 = 1

LCM(96,4879) = ( 96 × 4879 ) / 1

LCM(96,4879) = 468384 / 1

LCM(96,4879) = 468384


Lets's calculate GCF of 774,5516

2 774, 5516
387, 2758

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 468384/2

Therefore the LCM of Fractions 96/774,4879/5516 is 234192

Greatest Common Factor of 774,5516 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,5516 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 5516

List of positive integer factors of 5516 that divides 5516 without a remainder.

1,2,4,7,14,28,197,394,788,1379,2758,5516

Greatest Common Factor

We found the factors 774,5516 . The biggest common factor number is the GCF number.
So the greatest common factor 774,5516 is 2.


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 96/774, 4879/5516

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 96/774, 4879/5516?

Answer: LCM of Numerators as per given numbers 96/774, 4879/5516 is

LCM of Numerators i.e. for 96,4879 is 468384

GCF of denominators i.e. for 774,5516 is 2.

Thus, LCM of Fractions is 234192.Finally, LCM of Fractions for 96/774, 4879/5516 is 234192.