Least Common Multiple of 83/242, 3440/7242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/242, 3440/7242 quickly i.e. 142760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/242, 3440/7242 is 142760.

LCM(83/242, 3440/7242) = 142760

LCM of 83/242, 3440/7242

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 83/242,3440/7242

Given numbers are 83/242,3440/7242

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 83,3440

Least Common Multiple of Numerators i.e. LCM of 83,3440 is 285520.

GCF of Denominators means GCF of 242,7242 as per the given fractions.

GCF of 242,7242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,3440

LCM of Fractions 83/242,3440/7242 is 142760

Given numbers has no common factors except 1. So, there LCM is their product i.e 285520

Least Common Multiple of 83,3440 with GCF Formula

Least Common Multiple of 83,3440 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 83,3440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,3440) = 1

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

GCF(83,3440) x common factors =1 x 1 = 1

LCM(83,3440) = ( 83 × 3440 ) / 1

LCM(83,3440) = 285520 / 1

LCM(83,3440) = 285520


Lets's calculate GCF of 242,7242

2 242, 7242
121, 3621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285520/2

Therefore the LCM of Fractions 83/242,3440/7242 is 142760

Greatest Common Factor of 242,7242 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,7242 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 7242

List of positive integer factors of 7242 that divides 7242 without a remainder.

1,2,3,6,17,34,51,71,102,142,213,426,1207,2414,3621,7242

Greatest Common Factor

We found the factors 242,7242 . The biggest common factor number is the GCF number.
So the greatest common factor 242,7242 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 83/242, 3440/7242

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 83/242, 3440/7242?

Answer: LCM of Numerators as per given numbers 83/242, 3440/7242 is

LCM of Numerators i.e. for 83,3440 is 285520

GCF of denominators i.e. for 242,7242 is 2.

Thus, LCM of Fractions is 142760.Finally, LCM of Fractions for 83/242, 3440/7242 is 142760.