Least Common Multiple of 77/324, 68/274, 241/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/324, 68/274, 241/591 quickly i.e. 1261876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/324, 68/274, 241/591 is 1261876.

LCM(77/324, 68/274, 241/591) = 1261876

LCM of 77/324, 68/274, 241/591

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 77/324,68/274,241/591

Given numbers are 77/324,68/274,241/591

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 77,68,241

Least Common Multiple of Numerators i.e. LCM of 77,68,241 is 1261876.

GCF of Denominators means GCF of 324,274,591 as per the given fractions.

GCF of 324,274,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,68,241

LCM of Fractions 77/324,68/274,241/591 is 1261876

Given numbers has no common factors except 1. So, there LCM is their product i.e 1261876

Least Common Multiple of 77,68,241 with GCF Formula

Least Common Multiple of 77,68,241 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 77,68,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,68,241) = 1

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

GCF(77,68,241) x common factors =1 x 1 = 1

LCM(77,68,241) = ( 77 × 68 × 241 ) / 1

LCM(77,68,241) = 1261876 / 1

LCM(77,68,241) = 1261876


Lets's calculate GCF of 324,274,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1261876/1

Therefore the LCM of Fractions 77/324,68/274,241/591 is 1261876

Greatest Common Factor of 324,274,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,274,591 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 324,274,591 . The biggest common factor number is the GCF number.
So the greatest common factor 324,274,591 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 77/324, 68/274, 241/591

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 77/324, 68/274, 241/591?

Answer: LCM of Numerators as per given numbers 77/324, 68/274, 241/591 is

LCM of Numerators i.e. for 77,68,241 is 1261876

GCF of denominators i.e. for 324,274,591 is 1.

Thus, LCM of Fractions is 1261876.Finally, LCM of Fractions for 77/324, 68/274, 241/591 is 1261876.