Least Common Multiple of 4780/663, 7397/6405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4780/663, 7397/6405 quickly i.e. 35357660/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4780/663, 7397/6405 is 35357660/3.

LCM(4780/663, 7397/6405) = 35357660/3

LCM of 4780/663, 7397/6405

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 4780/663,7397/6405

Given numbers are 4780/663,7397/6405

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 4780,7397

Least Common Multiple of Numerators i.e. LCM of 4780,7397 is 35357660.

GCF of Denominators means GCF of 663,6405 as per the given fractions.

GCF of 663,6405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4780,7397

LCM of Fractions 4780/663,7397/6405 is 35357660/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 35357660

Least Common Multiple of 4780,7397 with GCF Formula

Least Common Multiple of 4780,7397 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 4780,7397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4780,7397) = 1

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

GCF(4780,7397) x common factors =1 x 1 = 1

LCM(4780,7397) = ( 4780 × 7397 ) / 1

LCM(4780,7397) = 35357660 / 1

LCM(4780,7397) = 35357660


Lets's calculate GCF of 663,6405

3 663, 6405
221, 2135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35357660/3

Therefore the LCM of Fractions 4780/663,7397/6405 is 35357660/3

Greatest Common Factor of 663,6405 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,6405 By Matching Biggest Common Factor Method

Factors of 663

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

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

Factors of 6405

List of positive integer factors of 6405 that divides 6405 without a remainder.

1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405

Greatest Common Factor

We found the factors 663,6405 . The biggest common factor number is the GCF number.
So the greatest common factor 663,6405 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4780/663, 7397/6405

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 4780/663, 7397/6405?

Answer: LCM of Numerators as per given numbers 4780/663, 7397/6405 is

LCM of Numerators i.e. for 4780,7397 is 35357660

GCF of denominators i.e. for 663,6405 is 3.

Thus, LCM of Fractions is 35357660/3.Finally, LCM of Fractions for 4780/663, 7397/6405 is 35357660/3.