Least Common Multiple of 291/111, 686/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/111, 686/484 quickly i.e. 199626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/111, 686/484 is 199626.

LCM(291/111, 686/484) = 199626

LCM of 291/111, 686/484

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 291/111,686/484

Given numbers are 291/111,686/484

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 291,686

Least Common Multiple of Numerators i.e. LCM of 291,686 is 199626.

GCF of Denominators means GCF of 111,484 as per the given fractions.

GCF of 111,484 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,686

LCM of Fractions 291/111,686/484 is 199626

Given numbers has no common factors except 1. So, there LCM is their product i.e 199626

Least Common Multiple of 291,686 with GCF Formula

Least Common Multiple of 291,686 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 291,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,686) = 1

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

GCF(291,686) x common factors =1 x 1 = 1

LCM(291,686) = ( 291 × 686 ) / 1

LCM(291,686) = 199626 / 1

LCM(291,686) = 199626


Lets's calculate GCF of 111,484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199626/1

Therefore the LCM of Fractions 291/111,686/484 is 199626

Greatest Common Factor of 111,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,484 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 111,484 . The biggest common factor number is the GCF number.
So the greatest common factor 111,484 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 291/111, 686/484

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 291/111, 686/484?

Answer: LCM of Numerators as per given numbers 291/111, 686/484 is

LCM of Numerators i.e. for 291,686 is 199626

GCF of denominators i.e. for 111,484 is 1.

Thus, LCM of Fractions is 199626.Finally, LCM of Fractions for 291/111, 686/484 is 199626.