Least Common Multiple of 7774/676, 3012/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7774/676, 3012/794 quickly i.e. 5853822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7774/676, 3012/794 is 5853822.

LCM(7774/676, 3012/794) = 5853822

LCM of 7774/676, 3012/794

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 7774/676,3012/794

Given numbers are 7774/676,3012/794

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 7774,3012

Least Common Multiple of Numerators i.e. LCM of 7774,3012 is 11707644.

GCF of Denominators means GCF of 676,794 as per the given fractions.

GCF of 676,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7774,3012

LCM of Fractions 7774/676,3012/794 is 5853822

2 7774, 3012
3887, 1506

∴ So the LCM of the given numbers is 2 x 3887 x 1506 = 11707644

Least Common Multiple of 7774,3012 with GCF Formula

Least Common Multiple of 7774,3012 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 7774,3012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7774,3012) = 2

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

GCF(7774,3012) x common factors =2 x 1 = 2

LCM(7774,3012) = ( 7774 × 3012 ) / 2

LCM(7774,3012) = 23415288 / 2

LCM(7774,3012) = 11707644


Lets's calculate GCF of 676,794

2 676, 794
338, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11707644/2

Therefore the LCM of Fractions 7774/676,3012/794 is 5853822

Greatest Common Factor of 676,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,794 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 676,794 . The biggest common factor number is the GCF number.
So the greatest common factor 676,794 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 7774/676, 3012/794

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 7774/676, 3012/794?

Answer: LCM of Numerators as per given numbers 7774/676, 3012/794 is

LCM of Numerators i.e. for 7774,3012 is 11707644

GCF of denominators i.e. for 676,794 is 2.

Thus, LCM of Fractions is 5853822.Finally, LCM of Fractions for 7774/676, 3012/794 is 5853822.