Least Common Multiple of 4947/643, 3873/9976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4947/643, 3873/9976 quickly i.e. 6386577 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4947/643, 3873/9976 is 6386577.

LCM(4947/643, 3873/9976) = 6386577

LCM of 4947/643, 3873/9976

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 4947/643,3873/9976

Given numbers are 4947/643,3873/9976

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 4947,3873

Least Common Multiple of Numerators i.e. LCM of 4947,3873 is 6386577.

GCF of Denominators means GCF of 643,9976 as per the given fractions.

GCF of 643,9976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4947,3873

LCM of Fractions 4947/643,3873/9976 is 6386577

3 4947, 3873
1649, 1291

∴ So the LCM of the given numbers is 3 x 1649 x 1291 = 6386577

Least Common Multiple of 4947,3873 with GCF Formula

Least Common Multiple of 4947,3873 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 4947,3873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4947,3873) = 3

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

GCF(4947,3873) x common factors =3 x 1 = 3

LCM(4947,3873) = ( 4947 × 3873 ) / 3

LCM(4947,3873) = 19159731 / 3

LCM(4947,3873) = 6386577


Lets's calculate GCF of 643,9976

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6386577/1

Therefore the LCM of Fractions 4947/643,3873/9976 is 6386577

Greatest Common Factor of 643,9976 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,9976 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 9976

List of positive integer factors of 9976 that divides 9976 without a remainder.

1,2,4,8,29,43,58,86,116,172,232,344,1247,2494,4988,9976

Greatest Common Factor

We found the factors 643,9976 . The biggest common factor number is the GCF number.
So the greatest common factor 643,9976 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4947/643, 3873/9976

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 4947/643, 3873/9976?

Answer: LCM of Numerators as per given numbers 4947/643, 3873/9976 is

LCM of Numerators i.e. for 4947,3873 is 6386577

GCF of denominators i.e. for 643,9976 is 1.

Thus, LCM of Fractions is 6386577.Finally, LCM of Fractions for 4947/643, 3873/9976 is 6386577.