Least Common Multiple of 72/901, 4887/8772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/901, 4887/8772 quickly i.e. 39096/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/901, 4887/8772 is 39096/17.

LCM(72/901, 4887/8772) = 39096/17

LCM of 72/901, 4887/8772

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 72/901,4887/8772

Given numbers are 72/901,4887/8772

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 72,4887

Least Common Multiple of Numerators i.e. LCM of 72,4887 is 39096.

GCF of Denominators means GCF of 901,8772 as per the given fractions.

GCF of 901,8772 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,4887

LCM of Fractions 72/901,4887/8772 is 39096/17

3 72, 4887
3 24, 1629
8, 543

∴ So the LCM of the given numbers is 3 x 3 x 8 x 543 = 39096

Least Common Multiple of 72,4887 with GCF Formula

Least Common Multiple of 72,4887 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 72,4887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,4887) = 9

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

GCF(72,4887) x common factors =9 x 1 = 9

LCM(72,4887) = ( 72 × 4887 ) / 9

LCM(72,4887) = 351864 / 9

LCM(72,4887) = 39096


Lets's calculate GCF of 901,8772

17 901, 8772
53, 516

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39096/17

Therefore the LCM of Fractions 72/901,4887/8772 is 39096/17

Greatest Common Factor of 901,8772 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,8772 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772

Greatest Common Factor

We found the factors 901,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 901,8772 is 17.


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 72/901, 4887/8772

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 72/901, 4887/8772?

Answer: LCM of Numerators as per given numbers 72/901, 4887/8772 is

LCM of Numerators i.e. for 72,4887 is 39096

GCF of denominators i.e. for 901,8772 is 17.

Thus, LCM of Fractions is 39096/17.Finally, LCM of Fractions for 72/901, 4887/8772 is 39096/17.