Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 371/98, 915/26, 847/229 quickly i.e. 41075265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 371/98, 915/26, 847/229 is 41075265.
LCM(371/98, 915/26, 847/229) = 41075265
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 371/98,915/26,847/229
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 371,915,847
Least Common Multiple of Numerators i.e. LCM of 371,915,847 is 41075265.
GCF of Denominators means GCF of 98,26,229 as per the given fractions.
GCF of 98,26,229 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 371,915,847
7 | 371, 915, 847 |
53, 915, 121 |
∴ So the LCM of the given numbers is 7 x 53 x 915 x 121 = 41075265
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 371,915,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,915,847) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(371,915,847) x common factors =1 x 7 = 7
LCM(371,915,847) = ( 371 × 915 × 847 ) / 7
LCM(371,915,847) = 287526855 / 7
LCM(371,915,847) = 41075265
Lets's calculate GCF of 98,26,229
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41075265/1
Therefore the LCM of Fractions 371/98,915/26,847/229 is 41075265
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Greatest Common Factor
We found the factors 98,26,229 . The biggest common factor number is the GCF number.
So the greatest common factor 98,26,229 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 371/98, 915/26, 847/229?
Answer: LCM of Numerators as per given numbers 371/98, 915/26, 847/229 is
LCM of Numerators i.e. for 371,915,847 is 41075265
GCF of denominators i.e. for 98,26,229 is 1.
Thus, LCM of Fractions is 41075265.Finally, LCM of Fractions for 371/98, 915/26, 847/229 is 41075265.