Least Common Multiple of 108/901, 988/263, 809/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/901, 988/263, 809/240 quickly i.e. 21580884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/901, 988/263, 809/240 is 21580884.

LCM(108/901, 988/263, 809/240) = 21580884

LCM of 108/901, 988/263, 809/240

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 108/901,988/263,809/240

Given numbers are 108/901,988/263,809/240

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 108,988,809

Least Common Multiple of Numerators i.e. LCM of 108,988,809 is 21580884.

GCF of Denominators means GCF of 901,263,240 as per the given fractions.

GCF of 901,263,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,988,809

LCM of Fractions 108/901,988/263,809/240 is 21580884

2 108, 988, 809
2 54, 494, 809
27, 247, 809

∴ So the LCM of the given numbers is 2 x 2 x 27 x 247 x 809 = 21580884

Least Common Multiple of 108,988,809 with GCF Formula

Least Common Multiple of 108,988,809 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 108,988,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,988,809) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(108,988,809) x common factors =1 x 4 = 4

LCM(108,988,809) = ( 108 × 988 × 809 ) / 4

LCM(108,988,809) = 86323536 / 4

LCM(108,988,809) = 21580884


Lets's calculate GCF of 901,263,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21580884/1

Therefore the LCM of Fractions 108/901,988/263,809/240 is 21580884

Greatest Common Factor of 901,263,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,263,240 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 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 901,263,240 . The biggest common factor number is the GCF number.
So the greatest common factor 901,263,240 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 108/901, 988/263, 809/240

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 108/901, 988/263, 809/240?

Answer: LCM of Numerators as per given numbers 108/901, 988/263, 809/240 is

LCM of Numerators i.e. for 108,988,809 is 21580884

GCF of denominators i.e. for 901,263,240 is 1.

Thus, LCM of Fractions is 21580884.Finally, LCM of Fractions for 108/901, 988/263, 809/240 is 21580884.