Least Common Multiple of 3975/298, 3644/5424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3975/298, 3644/5424 quickly i.e. 7242450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3975/298, 3644/5424 is 7242450.

LCM(3975/298, 3644/5424) = 7242450

LCM of 3975/298, 3644/5424

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 3975/298,3644/5424

Given numbers are 3975/298,3644/5424

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 3975,3644

Least Common Multiple of Numerators i.e. LCM of 3975,3644 is 14484900.

GCF of Denominators means GCF of 298,5424 as per the given fractions.

GCF of 298,5424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3975,3644

LCM of Fractions 3975/298,3644/5424 is 7242450

Given numbers has no common factors except 1. So, there LCM is their product i.e 14484900

Least Common Multiple of 3975,3644 with GCF Formula

Least Common Multiple of 3975,3644 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 3975,3644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3975,3644) = 1

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

GCF(3975,3644) x common factors =1 x 1 = 1

LCM(3975,3644) = ( 3975 × 3644 ) / 1

LCM(3975,3644) = 14484900 / 1

LCM(3975,3644) = 14484900


Lets's calculate GCF of 298,5424

2 298, 5424
149, 2712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14484900/2

Therefore the LCM of Fractions 3975/298,3644/5424 is 7242450

Greatest Common Factor of 298,5424 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,5424 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424

Greatest Common Factor

We found the factors 298,5424 . The biggest common factor number is the GCF number.
So the greatest common factor 298,5424 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 3975/298, 3644/5424

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 3975/298, 3644/5424?

Answer: LCM of Numerators as per given numbers 3975/298, 3644/5424 is

LCM of Numerators i.e. for 3975,3644 is 14484900

GCF of denominators i.e. for 298,5424 is 2.

Thus, LCM of Fractions is 7242450.Finally, LCM of Fractions for 3975/298, 3644/5424 is 7242450.