Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/338, 436/375, 814/917 quickly i.e. 12599092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/338, 436/375, 814/917 is 12599092.
LCM(71/338, 436/375, 814/917) = 12599092
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/338,436/375,814/917
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 71,436,814
Least Common Multiple of Numerators i.e. LCM of 71,436,814 is 12599092.
GCF of Denominators means GCF of 338,375,917 as per the given fractions.
GCF of 338,375,917 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,436,814
2 | 71, 436, 814 |
71, 218, 407 |
∴ So the LCM of the given numbers is 2 x 71 x 218 x 407 = 12599092
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 71,436,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,436,814) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(71,436,814) x common factors =1 x 2 = 2
LCM(71,436,814) = ( 71 × 436 × 814 ) / 2
LCM(71,436,814) = 25198184 / 2
LCM(71,436,814) = 12599092
Lets's calculate GCF of 338,375,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12599092/1
Therefore the LCM of Fractions 71/338,436/375,814/917 is 12599092
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 338,375,917 . The biggest common factor number is the GCF number.
So the greatest common factor 338,375,917 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 71/338, 436/375, 814/917?
Answer: LCM of Numerators as per given numbers 71/338, 436/375, 814/917 is
LCM of Numerators i.e. for 71,436,814 is 12599092
GCF of denominators i.e. for 338,375,917 is 1.
Thus, LCM of Fractions is 12599092.Finally, LCM of Fractions for 71/338, 436/375, 814/917 is 12599092.