Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 137/80, 816/22, 697/259 quickly i.e. 4583472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 137/80, 816/22, 697/259 is 4583472.
LCM(137/80, 816/22, 697/259) = 4583472
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 137/80,816/22,697/259
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 137,816,697
Least Common Multiple of Numerators i.e. LCM of 137,816,697 is 4583472.
GCF of Denominators means GCF of 80,22,259 as per the given fractions.
GCF of 80,22,259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 137,816,697
17 | 137, 816, 697 |
137, 48, 41 |
∴ So the LCM of the given numbers is 17 x 137 x 48 x 41 = 4583472
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 137,816,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,816,697) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(137,816,697) x common factors =1 x 17 = 17
LCM(137,816,697) = ( 137 × 816 × 697 ) / 17
LCM(137,816,697) = 77919024 / 17
LCM(137,816,697) = 4583472
Lets's calculate GCF of 80,22,259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4583472/1
Therefore the LCM of Fractions 137/80,816/22,697/259 is 4583472
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Greatest Common Factor
We found the factors 80,22,259 . The biggest common factor number is the GCF number.
So the greatest common factor 80,22,259 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 137/80, 816/22, 697/259?
Answer: LCM of Numerators as per given numbers 137/80, 816/22, 697/259 is
LCM of Numerators i.e. for 137,816,697 is 4583472
GCF of denominators i.e. for 80,22,259 is 1.
Thus, LCM of Fractions is 4583472.Finally, LCM of Fractions for 137/80, 816/22, 697/259 is 4583472.