Least Common Multiple of 521/26, 766/51, 363/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 521/26, 766/51, 363/186 quickly i.e. 144868218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/26, 766/51, 363/186 is 144868218.

LCM(521/26, 766/51, 363/186) = 144868218

LCM of 521/26, 766/51, 363/186

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 521/26,766/51,363/186

Given numbers are 521/26,766/51,363/186

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 521,766,363

Least Common Multiple of Numerators i.e. LCM of 521,766,363 is 144868218.

GCF of Denominators means GCF of 26,51,186 as per the given fractions.

GCF of 26,51,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,766,363

LCM of Fractions 521/26,766/51,363/186 is 144868218

Given numbers has no common factors except 1. So, there LCM is their product i.e 144868218

Least Common Multiple of 521,766,363 with GCF Formula

Least Common Multiple of 521,766,363 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 521,766,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,766,363) = 1

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

GCF(521,766,363) x common factors =1 x 1 = 1

LCM(521,766,363) = ( 521 × 766 × 363 ) / 1

LCM(521,766,363) = 144868218 / 1

LCM(521,766,363) = 144868218


Lets's calculate GCF of 26,51,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144868218/1

Therefore the LCM of Fractions 521/26,766/51,363/186 is 144868218

Greatest Common Factor of 26,51,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,51,186 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 26,51,186 . The biggest common factor number is the GCF number.
So the greatest common factor 26,51,186 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 521/26, 766/51, 363/186

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 521/26, 766/51, 363/186?

Answer: LCM of Numerators as per given numbers 521/26, 766/51, 363/186 is

LCM of Numerators i.e. for 521,766,363 is 144868218

GCF of denominators i.e. for 26,51,186 is 1.

Thus, LCM of Fractions is 144868218.Finally, LCM of Fractions for 521/26, 766/51, 363/186 is 144868218.