Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/313, 959/457, 145/114 quickly i.e. 9872905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/313, 959/457, 145/114 is 9872905.
LCM(71/313, 959/457, 145/114) = 9872905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/313,959/457,145/114
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 71,959,145
Least Common Multiple of Numerators i.e. LCM of 71,959,145 is 9872905.
GCF of Denominators means GCF of 313,457,114 as per the given fractions.
GCF of 313,457,114 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,959,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 9872905
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 71,959,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,959,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,959,145) x common factors =1 x 1 = 1
LCM(71,959,145) = ( 71 × 959 × 145 ) / 1
LCM(71,959,145) = 9872905 / 1
LCM(71,959,145) = 9872905
Lets's calculate GCF of 313,457,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9872905/1
Therefore the LCM of Fractions 71/313,959/457,145/114 is 9872905
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 313,457,114 . The biggest common factor number is the GCF number.
So the greatest common factor 313,457,114 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 71/313, 959/457, 145/114?
Answer: LCM of Numerators as per given numbers 71/313, 959/457, 145/114 is
LCM of Numerators i.e. for 71,959,145 is 9872905
GCF of denominators i.e. for 313,457,114 is 1.
Thus, LCM of Fractions is 9872905.Finally, LCM of Fractions for 71/313, 959/457, 145/114 is 9872905.