Least Common Multiple of 3712/300, 2073/9747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3712/300, 2073/9747 quickly i.e. 2564992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3712/300, 2073/9747 is 2564992.

LCM(3712/300, 2073/9747) = 2564992

LCM of 3712/300, 2073/9747

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 3712/300,2073/9747

Given numbers are 3712/300,2073/9747

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 3712,2073

Least Common Multiple of Numerators i.e. LCM of 3712,2073 is 7694976.

GCF of Denominators means GCF of 300,9747 as per the given fractions.

GCF of 300,9747 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3712,2073

LCM of Fractions 3712/300,2073/9747 is 2564992

Given numbers has no common factors except 1. So, there LCM is their product i.e 7694976

Least Common Multiple of 3712,2073 with GCF Formula

Least Common Multiple of 3712,2073 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 3712,2073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3712,2073) = 1

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

GCF(3712,2073) x common factors =1 x 1 = 1

LCM(3712,2073) = ( 3712 × 2073 ) / 1

LCM(3712,2073) = 7694976 / 1

LCM(3712,2073) = 7694976


Lets's calculate GCF of 300,9747

3 300, 9747
100, 3249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7694976/3

Therefore the LCM of Fractions 3712/300,2073/9747 is 2564992

Greatest Common Factor of 300,9747 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,9747 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 9747

List of positive integer factors of 9747 that divides 9747 without a remainder.

1,3,9,19,27,57,171,361,513,1083,3249,9747

Greatest Common Factor

We found the factors 300,9747 . The biggest common factor number is the GCF number.
So the greatest common factor 300,9747 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 3712/300, 2073/9747

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 3712/300, 2073/9747?

Answer: LCM of Numerators as per given numbers 3712/300, 2073/9747 is

LCM of Numerators i.e. for 3712,2073 is 7694976

GCF of denominators i.e. for 300,9747 is 3.

Thus, LCM of Fractions is 2564992.Finally, LCM of Fractions for 3712/300, 2073/9747 is 2564992.