Least Common Multiple of 3726/65, 2813/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3726/65, 2813/663 quickly i.e. 10481238/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3726/65, 2813/663 is 10481238/13.

LCM(3726/65, 2813/663) = 10481238/13

LCM of 3726/65, 2813/663

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 3726/65,2813/663

Given numbers are 3726/65,2813/663

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 3726,2813

Least Common Multiple of Numerators i.e. LCM of 3726,2813 is 10481238.

GCF of Denominators means GCF of 65,663 as per the given fractions.

GCF of 65,663 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3726,2813

LCM of Fractions 3726/65,2813/663 is 10481238/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 10481238

Least Common Multiple of 3726,2813 with GCF Formula

Least Common Multiple of 3726,2813 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 3726,2813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3726,2813) = 1

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

GCF(3726,2813) x common factors =1 x 1 = 1

LCM(3726,2813) = ( 3726 × 2813 ) / 1

LCM(3726,2813) = 10481238 / 1

LCM(3726,2813) = 10481238


Lets's calculate GCF of 65,663

13 65, 663
5, 51

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10481238/13

Therefore the LCM of Fractions 3726/65,2813/663 is 10481238/13

Greatest Common Factor of 65,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,663 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 65,663 . The biggest common factor number is the GCF number.
So the greatest common factor 65,663 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3726/65, 2813/663

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 3726/65, 2813/663?

Answer: LCM of Numerators as per given numbers 3726/65, 2813/663 is

LCM of Numerators i.e. for 3726,2813 is 10481238

GCF of denominators i.e. for 65,663 is 13.

Thus, LCM of Fractions is 10481238/13.Finally, LCM of Fractions for 3726/65, 2813/663 is 10481238/13.