Least Common Multiple of 126/60, 199/5978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/60, 199/5978 quickly i.e. 12537 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/60, 199/5978 is 12537.

LCM(126/60, 199/5978) = 12537

LCM of 126/60, 199/5978

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 126/60,199/5978

Given numbers are 126/60,199/5978

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 126,199

Least Common Multiple of Numerators i.e. LCM of 126,199 is 25074.

GCF of Denominators means GCF of 60,5978 as per the given fractions.

GCF of 60,5978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,199

LCM of Fractions 126/60,199/5978 is 12537

Given numbers has no common factors except 1. So, there LCM is their product i.e 25074

Least Common Multiple of 126,199 with GCF Formula

Least Common Multiple of 126,199 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 126,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,199) = 1

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

GCF(126,199) x common factors =1 x 1 = 1

LCM(126,199) = ( 126 × 199 ) / 1

LCM(126,199) = 25074 / 1

LCM(126,199) = 25074


Lets's calculate GCF of 60,5978

2 60, 5978
30, 2989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25074/2

Therefore the LCM of Fractions 126/60,199/5978 is 12537

Greatest Common Factor of 60,5978 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,5978 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 5978

List of positive integer factors of 5978 that divides 5978 without a remainder.

1,2,7,14,49,61,98,122,427,854,2989,5978

Greatest Common Factor

We found the factors 60,5978 . The biggest common factor number is the GCF number.
So the greatest common factor 60,5978 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 126/60, 199/5978

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 126/60, 199/5978?

Answer: LCM of Numerators as per given numbers 126/60, 199/5978 is

LCM of Numerators i.e. for 126,199 is 25074

GCF of denominators i.e. for 60,5978 is 2.

Thus, LCM of Fractions is 12537.Finally, LCM of Fractions for 126/60, 199/5978 is 12537.