Least Common Multiple of 9987/735, 3951/4909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9987/735, 3951/4909 quickly i.e. 13152879 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9987/735, 3951/4909 is 13152879.

LCM(9987/735, 3951/4909) = 13152879

LCM of 9987/735, 3951/4909

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 9987/735,3951/4909

Given numbers are 9987/735,3951/4909

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 9987,3951

Least Common Multiple of Numerators i.e. LCM of 9987,3951 is 13152879.

GCF of Denominators means GCF of 735,4909 as per the given fractions.

GCF of 735,4909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9987,3951

LCM of Fractions 9987/735,3951/4909 is 13152879

3 9987, 3951
3329, 1317

∴ So the LCM of the given numbers is 3 x 3329 x 1317 = 13152879

Least Common Multiple of 9987,3951 with GCF Formula

Least Common Multiple of 9987,3951 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 9987,3951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9987,3951) = 3

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

GCF(9987,3951) x common factors =3 x 1 = 3

LCM(9987,3951) = ( 9987 × 3951 ) / 3

LCM(9987,3951) = 39458637 / 3

LCM(9987,3951) = 13152879


Lets's calculate GCF of 735,4909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13152879/1

Therefore the LCM of Fractions 9987/735,3951/4909 is 13152879

Greatest Common Factor of 735,4909 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,4909 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 4909

List of positive integer factors of 4909 that divides 4909 without a remainder.

1,4909

Greatest Common Factor

We found the factors 735,4909 . The biggest common factor number is the GCF number.
So the greatest common factor 735,4909 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 9987/735, 3951/4909

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 9987/735, 3951/4909?

Answer: LCM of Numerators as per given numbers 9987/735, 3951/4909 is

LCM of Numerators i.e. for 9987,3951 is 13152879

GCF of denominators i.e. for 735,4909 is 1.

Thus, LCM of Fractions is 13152879.Finally, LCM of Fractions for 9987/735, 3951/4909 is 13152879.