Least Common Multiple of 763/656, 318/601, 311/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/656, 318/601, 311/277 quickly i.e. 75459174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/656, 318/601, 311/277 is 75459174.

LCM(763/656, 318/601, 311/277) = 75459174

LCM of 763/656, 318/601, 311/277

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 763/656,318/601,311/277

Given numbers are 763/656,318/601,311/277

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 763,318,311

Least Common Multiple of Numerators i.e. LCM of 763,318,311 is 75459174.

GCF of Denominators means GCF of 656,601,277 as per the given fractions.

GCF of 656,601,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,318,311

LCM of Fractions 763/656,318/601,311/277 is 75459174

Given numbers has no common factors except 1. So, there LCM is their product i.e 75459174

Least Common Multiple of 763,318,311 with GCF Formula

Least Common Multiple of 763,318,311 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 763,318,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,318,311) = 1

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

GCF(763,318,311) x common factors =1 x 1 = 1

LCM(763,318,311) = ( 763 × 318 × 311 ) / 1

LCM(763,318,311) = 75459174 / 1

LCM(763,318,311) = 75459174


Lets's calculate GCF of 656,601,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75459174/1

Therefore the LCM of Fractions 763/656,318/601,311/277 is 75459174

Greatest Common Factor of 656,601,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,601,277 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 656,601,277 . The biggest common factor number is the GCF number.
So the greatest common factor 656,601,277 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 763/656, 318/601, 311/277

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 763/656, 318/601, 311/277?

Answer: LCM of Numerators as per given numbers 763/656, 318/601, 311/277 is

LCM of Numerators i.e. for 763,318,311 is 75459174

GCF of denominators i.e. for 656,601,277 is 1.

Thus, LCM of Fractions is 75459174.Finally, LCM of Fractions for 763/656, 318/601, 311/277 is 75459174.