Least Common Multiple of 5073/128, 3975/4402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5073/128, 3975/4402 quickly i.e. 6721725/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5073/128, 3975/4402 is 6721725/2.

LCM(5073/128, 3975/4402) = 6721725/2

LCM of 5073/128, 3975/4402

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 5073/128,3975/4402

Given numbers are 5073/128,3975/4402

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 5073,3975

Least Common Multiple of Numerators i.e. LCM of 5073,3975 is 6721725.

GCF of Denominators means GCF of 128,4402 as per the given fractions.

GCF of 128,4402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5073,3975

LCM of Fractions 5073/128,3975/4402 is 6721725/2

3 5073, 3975
1691, 1325

∴ So the LCM of the given numbers is 3 x 1691 x 1325 = 6721725

Least Common Multiple of 5073,3975 with GCF Formula

Least Common Multiple of 5073,3975 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 5073,3975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5073,3975) = 3

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

GCF(5073,3975) x common factors =3 x 1 = 3

LCM(5073,3975) = ( 5073 × 3975 ) / 3

LCM(5073,3975) = 20165175 / 3

LCM(5073,3975) = 6721725


Lets's calculate GCF of 128,4402

2 128, 4402
64, 2201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6721725/2

Therefore the LCM of Fractions 5073/128,3975/4402 is 6721725/2

Greatest Common Factor of 128,4402 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,4402 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 4402

List of positive integer factors of 4402 that divides 4402 without a remainder.

1,2,31,62,71,142,2201,4402

Greatest Common Factor

We found the factors 128,4402 . The biggest common factor number is the GCF number.
So the greatest common factor 128,4402 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5073/128, 3975/4402

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 5073/128, 3975/4402?

Answer: LCM of Numerators as per given numbers 5073/128, 3975/4402 is

LCM of Numerators i.e. for 5073,3975 is 6721725

GCF of denominators i.e. for 128,4402 is 2.

Thus, LCM of Fractions is 6721725/2.Finally, LCM of Fractions for 5073/128, 3975/4402 is 6721725/2.