Least Common Multiple of 2998/825, 4379/6147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2998/825, 4379/6147 quickly i.e. 13128242/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2998/825, 4379/6147 is 13128242/3.

LCM(2998/825, 4379/6147) = 13128242/3

LCM of 2998/825, 4379/6147

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 2998/825,4379/6147

Given numbers are 2998/825,4379/6147

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 2998,4379

Least Common Multiple of Numerators i.e. LCM of 2998,4379 is 13128242.

GCF of Denominators means GCF of 825,6147 as per the given fractions.

GCF of 825,6147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2998,4379

LCM of Fractions 2998/825,4379/6147 is 13128242/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 13128242

Least Common Multiple of 2998,4379 with GCF Formula

Least Common Multiple of 2998,4379 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 2998,4379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2998,4379) = 1

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

GCF(2998,4379) x common factors =1 x 1 = 1

LCM(2998,4379) = ( 2998 × 4379 ) / 1

LCM(2998,4379) = 13128242 / 1

LCM(2998,4379) = 13128242


Lets's calculate GCF of 825,6147

3 825, 6147
275, 2049

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13128242/3

Therefore the LCM of Fractions 2998/825,4379/6147 is 13128242/3

Greatest Common Factor of 825,6147 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,6147 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 6147

List of positive integer factors of 6147 that divides 6147 without a remainder.

1,3,9,683,2049,6147

Greatest Common Factor

We found the factors 825,6147 . The biggest common factor number is the GCF number.
So the greatest common factor 825,6147 is 3.


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 2998/825, 4379/6147

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 2998/825, 4379/6147?

Answer: LCM of Numerators as per given numbers 2998/825, 4379/6147 is

LCM of Numerators i.e. for 2998,4379 is 13128242

GCF of denominators i.e. for 825,6147 is 3.

Thus, LCM of Fractions is 13128242/3.Finally, LCM of Fractions for 2998/825, 4379/6147 is 13128242/3.