Least Common Multiple of 142/50, 242/1401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/50, 242/1401 quickly i.e. 17182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/50, 242/1401 is 17182.

LCM(142/50, 242/1401) = 17182

LCM of 142/50, 242/1401

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 142/50,242/1401

Given numbers are 142/50,242/1401

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 142,242

Least Common Multiple of Numerators i.e. LCM of 142,242 is 17182.

GCF of Denominators means GCF of 50,1401 as per the given fractions.

GCF of 50,1401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,242

LCM of Fractions 142/50,242/1401 is 17182

2 142, 242
71, 121

∴ So the LCM of the given numbers is 2 x 71 x 121 = 17182

Least Common Multiple of 142,242 with GCF Formula

Least Common Multiple of 142,242 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 142,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,242) = 2

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

GCF(142,242) x common factors =2 x 1 = 2

LCM(142,242) = ( 142 × 242 ) / 2

LCM(142,242) = 34364 / 2

LCM(142,242) = 17182


Lets's calculate GCF of 50,1401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17182/1

Therefore the LCM of Fractions 142/50,242/1401 is 17182

Greatest Common Factor of 50,1401 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,1401 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 1401

List of positive integer factors of 1401 that divides 1401 without a remainder.

1,3,467,1401

Greatest Common Factor

We found the factors 50,1401 . The biggest common factor number is the GCF number.
So the greatest common factor 50,1401 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 142/50, 242/1401

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 142/50, 242/1401?

Answer: LCM of Numerators as per given numbers 142/50, 242/1401 is

LCM of Numerators i.e. for 142,242 is 17182

GCF of denominators i.e. for 50,1401 is 1.

Thus, LCM of Fractions is 17182.Finally, LCM of Fractions for 142/50, 242/1401 is 17182.