Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 888/722, 296/815, 273/811 quickly i.e. 80808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 888/722, 296/815, 273/811 is 80808.
LCM(888/722, 296/815, 273/811) = 80808
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 888/722,296/815,273/811
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 888,296,273
Least Common Multiple of Numerators i.e. LCM of 888,296,273 is 80808.
GCF of Denominators means GCF of 722,815,811 as per the given fractions.
GCF of 722,815,811 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 888,296,273
2 | 888, 296, 273 |
2 | 444, 148, 273 |
2 | 222, 74, 273 |
3 | 111, 37, 273 |
37 | 37, 37, 91 |
1, 1, 91 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 1 x 1 x 91 = 80808
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 888,296,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,296,273) = 1
common factors(in case of two or more numbers have common factors) = 888
GCF(888,296,273) x common factors =1 x 888 = 888
LCM(888,296,273) = ( 888 × 296 × 273 ) / 888
LCM(888,296,273) = 71757504 / 888
LCM(888,296,273) = 80808
Lets's calculate GCF of 722,815,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80808/1
Therefore the LCM of Fractions 888/722,296/815,273/811 is 80808
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 722,815,811 . The biggest common factor number is the GCF number.
So the greatest common factor 722,815,811 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 888/722, 296/815, 273/811?
Answer: LCM of Numerators as per given numbers 888/722, 296/815, 273/811 is
LCM of Numerators i.e. for 888,296,273 is 80808
GCF of denominators i.e. for 722,815,811 is 1.
Thus, LCM of Fractions is 80808.Finally, LCM of Fractions for 888/722, 296/815, 273/811 is 80808.