Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/365, 268/721, 235/907 quickly i.e. 251920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/365, 268/721, 235/907 is 251920.
LCM(80/365, 268/721, 235/907) = 251920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/365,268/721,235/907
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 80,268,235
Least Common Multiple of Numerators i.e. LCM of 80,268,235 is 251920.
GCF of Denominators means GCF of 365,721,907 as per the given fractions.
GCF of 365,721,907 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,268,235
2 | 80, 268, 235 |
2 | 40, 134, 235 |
5 | 20, 67, 235 |
4, 67, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 67 x 47 = 251920
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 80,268,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,268,235) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(80,268,235) x common factors =1 x 20 = 20
LCM(80,268,235) = ( 80 × 268 × 235 ) / 20
LCM(80,268,235) = 5038400 / 20
LCM(80,268,235) = 251920
Lets's calculate GCF of 365,721,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251920/1
Therefore the LCM of Fractions 80/365,268/721,235/907 is 251920
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Greatest Common Factor
We found the factors 365,721,907 . The biggest common factor number is the GCF number.
So the greatest common factor 365,721,907 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 80/365, 268/721, 235/907?
Answer: LCM of Numerators as per given numbers 80/365, 268/721, 235/907 is
LCM of Numerators i.e. for 80,268,235 is 251920
GCF of denominators i.e. for 365,721,907 is 1.
Thus, LCM of Fractions is 251920.Finally, LCM of Fractions for 80/365, 268/721, 235/907 is 251920.