Least Common Multiple of 7686/311, 9301/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7686/311, 9301/855 quickly i.e. 71487486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7686/311, 9301/855 is 71487486.

LCM(7686/311, 9301/855) = 71487486

LCM of 7686/311, 9301/855

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 7686/311,9301/855

Given numbers are 7686/311,9301/855

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 7686,9301

Least Common Multiple of Numerators i.e. LCM of 7686,9301 is 71487486.

GCF of Denominators means GCF of 311,855 as per the given fractions.

GCF of 311,855 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7686,9301

LCM of Fractions 7686/311,9301/855 is 71487486

Given numbers has no common factors except 1. So, there LCM is their product i.e 71487486

Least Common Multiple of 7686,9301 with GCF Formula

Least Common Multiple of 7686,9301 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 7686,9301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7686,9301) = 1

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

GCF(7686,9301) x common factors =1 x 1 = 1

LCM(7686,9301) = ( 7686 × 9301 ) / 1

LCM(7686,9301) = 71487486 / 1

LCM(7686,9301) = 71487486


Lets's calculate GCF of 311,855

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71487486/1

Therefore the LCM of Fractions 7686/311,9301/855 is 71487486

Greatest Common Factor of 311,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,855 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 311,855 . The biggest common factor number is the GCF number.
So the greatest common factor 311,855 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 7686/311, 9301/855

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 7686/311, 9301/855?

Answer: LCM of Numerators as per given numbers 7686/311, 9301/855 is

LCM of Numerators i.e. for 7686,9301 is 71487486

GCF of denominators i.e. for 311,855 is 1.

Thus, LCM of Fractions is 71487486.Finally, LCM of Fractions for 7686/311, 9301/855 is 71487486.