Least Common Multiple of 77/191, 365/395, 307/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/191, 365/395, 307/279 quickly i.e. 8628235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/191, 365/395, 307/279 is 8628235.

LCM(77/191, 365/395, 307/279) = 8628235

LCM of 77/191, 365/395, 307/279

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 77/191,365/395,307/279

Given numbers are 77/191,365/395,307/279

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 77,365,307

Least Common Multiple of Numerators i.e. LCM of 77,365,307 is 8628235.

GCF of Denominators means GCF of 191,395,279 as per the given fractions.

GCF of 191,395,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,365,307

LCM of Fractions 77/191,365/395,307/279 is 8628235

Given numbers has no common factors except 1. So, there LCM is their product i.e 8628235

Least Common Multiple of 77,365,307 with GCF Formula

Least Common Multiple of 77,365,307 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 77,365,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,365,307) = 1

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

GCF(77,365,307) x common factors =1 x 1 = 1

LCM(77,365,307) = ( 77 × 365 × 307 ) / 1

LCM(77,365,307) = 8628235 / 1

LCM(77,365,307) = 8628235


Lets's calculate GCF of 191,395,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8628235/1

Therefore the LCM of Fractions 77/191,365/395,307/279 is 8628235

Greatest Common Factor of 191,395,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,395,279 By Matching Biggest Common Factor Method

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 191,395,279 . The biggest common factor number is the GCF number.
So the greatest common factor 191,395,279 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 77/191, 365/395, 307/279

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 77/191, 365/395, 307/279?

Answer: LCM of Numerators as per given numbers 77/191, 365/395, 307/279 is

LCM of Numerators i.e. for 77,365,307 is 8628235

GCF of denominators i.e. for 191,395,279 is 1.

Thus, LCM of Fractions is 8628235.Finally, LCM of Fractions for 77/191, 365/395, 307/279 is 8628235.