Least Common Multiple of 107/242, 116/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/242, 116/140 quickly i.e. 6206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/242, 116/140 is 6206.

LCM(107/242, 116/140) = 6206

LCM of 107/242, 116/140

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 107/242,116/140

Given numbers are 107/242,116/140

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 107,116

Least Common Multiple of Numerators i.e. LCM of 107,116 is 12412.

GCF of Denominators means GCF of 242,140 as per the given fractions.

GCF of 242,140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,116

LCM of Fractions 107/242,116/140 is 6206

Given numbers has no common factors except 1. So, there LCM is their product i.e 12412

Least Common Multiple of 107,116 with GCF Formula

Least Common Multiple of 107,116 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 107,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,116) = 1

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

GCF(107,116) x common factors =1 x 1 = 1

LCM(107,116) = ( 107 × 116 ) / 1

LCM(107,116) = 12412 / 1

LCM(107,116) = 12412


Lets's calculate GCF of 242,140

2 242, 140
121, 70

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12412/2

Therefore the LCM of Fractions 107/242,116/140 is 6206

Greatest Common Factor of 242,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,140 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 242,140 . The biggest common factor number is the GCF number.
So the greatest common factor 242,140 is 2.


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 107/242, 116/140

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 107/242, 116/140?

Answer: LCM of Numerators as per given numbers 107/242, 116/140 is

LCM of Numerators i.e. for 107,116 is 12412

GCF of denominators i.e. for 242,140 is 2.

Thus, LCM of Fractions is 6206.Finally, LCM of Fractions for 107/242, 116/140 is 6206.