Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/39, 857/29, 517/352 quickly i.e. 886138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/39, 857/29, 517/352 is 886138.
LCM(94/39, 857/29, 517/352) = 886138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/39,857/29,517/352
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 94,857,517
Least Common Multiple of Numerators i.e. LCM of 94,857,517 is 886138.
GCF of Denominators means GCF of 39,29,352 as per the given fractions.
GCF of 39,29,352 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,857,517
47 | 94, 857, 517 |
2, 857, 11 |
∴ So the LCM of the given numbers is 47 x 2 x 857 x 11 = 886138
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 94,857,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,857,517) = 1
common factors(in case of two or more numbers have common factors) = 47
GCF(94,857,517) x common factors =1 x 47 = 47
LCM(94,857,517) = ( 94 × 857 × 517 ) / 47
LCM(94,857,517) = 41648486 / 47
LCM(94,857,517) = 886138
Lets's calculate GCF of 39,29,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 886138/1
Therefore the LCM of Fractions 94/39,857/29,517/352 is 886138
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 39,29,352 . The biggest common factor number is the GCF number.
So the greatest common factor 39,29,352 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 94/39, 857/29, 517/352?
Answer: LCM of Numerators as per given numbers 94/39, 857/29, 517/352 is
LCM of Numerators i.e. for 94,857,517 is 886138
GCF of denominators i.e. for 39,29,352 is 1.
Thus, LCM of Fractions is 886138.Finally, LCM of Fractions for 94/39, 857/29, 517/352 is 886138.