Least Common Multiple of 4101/996, 4686/5987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4101/996, 4686/5987 quickly i.e. 6405762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4101/996, 4686/5987 is 6405762.

LCM(4101/996, 4686/5987) = 6405762

LCM of 4101/996, 4686/5987

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 4101/996,4686/5987

Given numbers are 4101/996,4686/5987

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 4101,4686

Least Common Multiple of Numerators i.e. LCM of 4101,4686 is 6405762.

GCF of Denominators means GCF of 996,5987 as per the given fractions.

GCF of 996,5987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4101,4686

LCM of Fractions 4101/996,4686/5987 is 6405762

3 4101, 4686
1367, 1562

∴ So the LCM of the given numbers is 3 x 1367 x 1562 = 6405762

Least Common Multiple of 4101,4686 with GCF Formula

Least Common Multiple of 4101,4686 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 4101,4686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4101,4686) = 3

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

GCF(4101,4686) x common factors =3 x 1 = 3

LCM(4101,4686) = ( 4101 × 4686 ) / 3

LCM(4101,4686) = 19217286 / 3

LCM(4101,4686) = 6405762


Lets's calculate GCF of 996,5987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6405762/1

Therefore the LCM of Fractions 4101/996,4686/5987 is 6405762

Greatest Common Factor of 996,5987 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,5987 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 5987

List of positive integer factors of 5987 that divides 5987 without a remainder.

1,5987

Greatest Common Factor

We found the factors 996,5987 . The biggest common factor number is the GCF number.
So the greatest common factor 996,5987 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 4101/996, 4686/5987

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 4101/996, 4686/5987?

Answer: LCM of Numerators as per given numbers 4101/996, 4686/5987 is

LCM of Numerators i.e. for 4101,4686 is 6405762

GCF of denominators i.e. for 996,5987 is 1.

Thus, LCM of Fractions is 6405762.Finally, LCM of Fractions for 4101/996, 4686/5987 is 6405762.