Least Common Multiple of 122/17, 143/6242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 122/17, 143/6242 quickly i.e. 17446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/17, 143/6242 is 17446.

LCM(122/17, 143/6242) = 17446

LCM of 122/17, 143/6242

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 122/17,143/6242

Given numbers are 122/17,143/6242

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 122,143

Least Common Multiple of Numerators i.e. LCM of 122,143 is 17446.

GCF of Denominators means GCF of 17,6242 as per the given fractions.

GCF of 17,6242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,143

LCM of Fractions 122/17,143/6242 is 17446

Given numbers has no common factors except 1. So, there LCM is their product i.e 17446

Least Common Multiple of 122,143 with GCF Formula

Least Common Multiple of 122,143 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 122,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,143) = 1

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

GCF(122,143) x common factors =1 x 1 = 1

LCM(122,143) = ( 122 × 143 ) / 1

LCM(122,143) = 17446 / 1

LCM(122,143) = 17446


Lets's calculate GCF of 17,6242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17446/1

Therefore the LCM of Fractions 122/17,143/6242 is 17446

Greatest Common Factor of 17,6242 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,6242 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 6242

List of positive integer factors of 6242 that divides 6242 without a remainder.

1,2,3121,6242

Greatest Common Factor

We found the factors 17,6242 . The biggest common factor number is the GCF number.
So the greatest common factor 17,6242 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 122/17, 143/6242

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 122/17, 143/6242?

Answer: LCM of Numerators as per given numbers 122/17, 143/6242 is

LCM of Numerators i.e. for 122,143 is 17446

GCF of denominators i.e. for 17,6242 is 1.

Thus, LCM of Fractions is 17446.Finally, LCM of Fractions for 122/17, 143/6242 is 17446.