Least Common Multiple of 121/654, 1898/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 121/654, 1898/142 quickly i.e. 114829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 121/654, 1898/142 is 114829.

LCM(121/654, 1898/142) = 114829

LCM of 121/654, 1898/142

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 121/654,1898/142

Given numbers are 121/654,1898/142

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 121,1898

Least Common Multiple of Numerators i.e. LCM of 121,1898 is 229658.

GCF of Denominators means GCF of 654,142 as per the given fractions.

GCF of 654,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 121,1898

LCM of Fractions 121/654,1898/142 is 114829

Given numbers has no common factors except 1. So, there LCM is their product i.e 229658

Least Common Multiple of 121,1898 with GCF Formula

Least Common Multiple of 121,1898 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 121,1898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,1898) = 1

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

GCF(121,1898) x common factors =1 x 1 = 1

LCM(121,1898) = ( 121 × 1898 ) / 1

LCM(121,1898) = 229658 / 1

LCM(121,1898) = 229658


Lets's calculate GCF of 654,142

2 654, 142
327, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229658/2

Therefore the LCM of Fractions 121/654,1898/142 is 114829

Greatest Common Factor of 654,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,142 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 654,142 . The biggest common factor number is the GCF number.
So the greatest common factor 654,142 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 121/654, 1898/142

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 121/654, 1898/142?

Answer: LCM of Numerators as per given numbers 121/654, 1898/142 is

LCM of Numerators i.e. for 121,1898 is 229658

GCF of denominators i.e. for 654,142 is 2.

Thus, LCM of Fractions is 114829.Finally, LCM of Fractions for 121/654, 1898/142 is 114829.