Least Common Multiple of 773/14, 678/7311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 773/14, 678/7311 quickly i.e. 524094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 773/14, 678/7311 is 524094.

LCM(773/14, 678/7311) = 524094

LCM of 773/14, 678/7311

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 773/14,678/7311

Given numbers are 773/14,678/7311

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 773,678

Least Common Multiple of Numerators i.e. LCM of 773,678 is 524094.

GCF of Denominators means GCF of 14,7311 as per the given fractions.

GCF of 14,7311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 773,678

LCM of Fractions 773/14,678/7311 is 524094

Given numbers has no common factors except 1. So, there LCM is their product i.e 524094

Least Common Multiple of 773,678 with GCF Formula

Least Common Multiple of 773,678 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 773,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,678) = 1

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

GCF(773,678) x common factors =1 x 1 = 1

LCM(773,678) = ( 773 × 678 ) / 1

LCM(773,678) = 524094 / 1

LCM(773,678) = 524094


Lets's calculate GCF of 14,7311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 524094/1

Therefore the LCM of Fractions 773/14,678/7311 is 524094

Greatest Common Factor of 14,7311 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,7311 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 7311

List of positive integer factors of 7311 that divides 7311 without a remainder.

1,3,2437,7311

Greatest Common Factor

We found the factors 14,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 14,7311 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 773/14, 678/7311

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 773/14, 678/7311?

Answer: LCM of Numerators as per given numbers 773/14, 678/7311 is

LCM of Numerators i.e. for 773,678 is 524094

GCF of denominators i.e. for 14,7311 is 1.

Thus, LCM of Fractions is 524094.Finally, LCM of Fractions for 773/14, 678/7311 is 524094.