Least Common Multiple of 8104/970, 4027/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8104/970, 4027/744 quickly i.e. 16317404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8104/970, 4027/744 is 16317404.

LCM(8104/970, 4027/744) = 16317404

LCM of 8104/970, 4027/744

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 8104/970,4027/744

Given numbers are 8104/970,4027/744

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 8104,4027

Least Common Multiple of Numerators i.e. LCM of 8104,4027 is 32634808.

GCF of Denominators means GCF of 970,744 as per the given fractions.

GCF of 970,744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8104,4027

LCM of Fractions 8104/970,4027/744 is 16317404

Given numbers has no common factors except 1. So, there LCM is their product i.e 32634808

Least Common Multiple of 8104,4027 with GCF Formula

Least Common Multiple of 8104,4027 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 8104,4027 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8104,4027) = 1

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

GCF(8104,4027) x common factors =1 x 1 = 1

LCM(8104,4027) = ( 8104 × 4027 ) / 1

LCM(8104,4027) = 32634808 / 1

LCM(8104,4027) = 32634808


Lets's calculate GCF of 970,744

2 970, 744
485, 372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32634808/2

Therefore the LCM of Fractions 8104/970,4027/744 is 16317404

Greatest Common Factor of 970,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,744 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 970,744 . The biggest common factor number is the GCF number.
So the greatest common factor 970,744 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8104/970, 4027/744

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 8104/970, 4027/744?

Answer: LCM of Numerators as per given numbers 8104/970, 4027/744 is

LCM of Numerators i.e. for 8104,4027 is 32634808

GCF of denominators i.e. for 970,744 is 2.

Thus, LCM of Fractions is 16317404.Finally, LCM of Fractions for 8104/970, 4027/744 is 16317404.