Least Common Multiple of 2813/378, 4535/3754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2813/378, 4535/3754 quickly i.e. 12756955/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2813/378, 4535/3754 is 12756955/2.

LCM(2813/378, 4535/3754) = 12756955/2

LCM of 2813/378, 4535/3754

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 2813/378,4535/3754

Given numbers are 2813/378,4535/3754

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 2813,4535

Least Common Multiple of Numerators i.e. LCM of 2813,4535 is 12756955.

GCF of Denominators means GCF of 378,3754 as per the given fractions.

GCF of 378,3754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2813,4535

LCM of Fractions 2813/378,4535/3754 is 12756955/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 12756955

Least Common Multiple of 2813,4535 with GCF Formula

Least Common Multiple of 2813,4535 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 2813,4535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2813,4535) = 1

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

GCF(2813,4535) x common factors =1 x 1 = 1

LCM(2813,4535) = ( 2813 × 4535 ) / 1

LCM(2813,4535) = 12756955 / 1

LCM(2813,4535) = 12756955


Lets's calculate GCF of 378,3754

2 378, 3754
189, 1877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12756955/2

Therefore the LCM of Fractions 2813/378,4535/3754 is 12756955/2

Greatest Common Factor of 378,3754 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,3754 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1,2,1877,3754

Greatest Common Factor

We found the factors 378,3754 . The biggest common factor number is the GCF number.
So the greatest common factor 378,3754 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2813/378, 4535/3754

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 2813/378, 4535/3754?

Answer: LCM of Numerators as per given numbers 2813/378, 4535/3754 is

LCM of Numerators i.e. for 2813,4535 is 12756955

GCF of denominators i.e. for 378,3754 is 2.

Thus, LCM of Fractions is 12756955/2.Finally, LCM of Fractions for 2813/378, 4535/3754 is 12756955/2.