Least Common Multiple of 521/54, 7094/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 521/54, 7094/767 quickly i.e. 3695974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/54, 7094/767 is 3695974.

LCM(521/54, 7094/767) = 3695974

LCM of 521/54, 7094/767

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 521/54,7094/767

Given numbers are 521/54,7094/767

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 521,7094

Least Common Multiple of Numerators i.e. LCM of 521,7094 is 3695974.

GCF of Denominators means GCF of 54,767 as per the given fractions.

GCF of 54,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,7094

LCM of Fractions 521/54,7094/767 is 3695974

Given numbers has no common factors except 1. So, there LCM is their product i.e 3695974

Least Common Multiple of 521,7094 with GCF Formula

Least Common Multiple of 521,7094 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 521,7094 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,7094) = 1

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

GCF(521,7094) x common factors =1 x 1 = 1

LCM(521,7094) = ( 521 × 7094 ) / 1

LCM(521,7094) = 3695974 / 1

LCM(521,7094) = 3695974


Lets's calculate GCF of 54,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3695974/1

Therefore the LCM of Fractions 521/54,7094/767 is 3695974

Greatest Common Factor of 54,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,767 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 54,767 . The biggest common factor number is the GCF number.
So the greatest common factor 54,767 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 521/54, 7094/767

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 521/54, 7094/767?

Answer: LCM of Numerators as per given numbers 521/54, 7094/767 is

LCM of Numerators i.e. for 521,7094 is 3695974

GCF of denominators i.e. for 54,767 is 1.

Thus, LCM of Fractions is 3695974.Finally, LCM of Fractions for 521/54, 7094/767 is 3695974.