Least Common Multiple of 7920/483, 6421/7995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7920/483, 6421/7995 quickly i.e. 16951440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7920/483, 6421/7995 is 16951440.

LCM(7920/483, 6421/7995) = 16951440

LCM of 7920/483, 6421/7995

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 7920/483,6421/7995

Given numbers are 7920/483,6421/7995

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 7920,6421

Least Common Multiple of Numerators i.e. LCM of 7920,6421 is 50854320.

GCF of Denominators means GCF of 483,7995 as per the given fractions.

GCF of 483,7995 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7920,6421

LCM of Fractions 7920/483,6421/7995 is 16951440

Given numbers has no common factors except 1. So, there LCM is their product i.e 50854320

Least Common Multiple of 7920,6421 with GCF Formula

Least Common Multiple of 7920,6421 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 7920,6421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7920,6421) = 1

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

GCF(7920,6421) x common factors =1 x 1 = 1

LCM(7920,6421) = ( 7920 × 6421 ) / 1

LCM(7920,6421) = 50854320 / 1

LCM(7920,6421) = 50854320


Lets's calculate GCF of 483,7995

3 483, 7995
161, 2665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50854320/3

Therefore the LCM of Fractions 7920/483,6421/7995 is 16951440

Greatest Common Factor of 483,7995 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,7995 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 7995

List of positive integer factors of 7995 that divides 7995 without a remainder.

1,3,5,13,15,39,41,65,123,195,205,533,615,1599,2665,7995

Greatest Common Factor

We found the factors 483,7995 . The biggest common factor number is the GCF number.
So the greatest common factor 483,7995 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7920/483, 6421/7995

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 7920/483, 6421/7995?

Answer: LCM of Numerators as per given numbers 7920/483, 6421/7995 is

LCM of Numerators i.e. for 7920,6421 is 50854320

GCF of denominators i.e. for 483,7995 is 3.

Thus, LCM of Fractions is 16951440.Finally, LCM of Fractions for 7920/483, 6421/7995 is 16951440.