Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 911/58, 911/17, 917/447 quickly i.e. 835387 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 911/58, 911/17, 917/447 is 835387.
LCM(911/58, 911/17, 917/447) = 835387
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 911/58,911/17,917/447
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 911,911,917
Least Common Multiple of Numerators i.e. LCM of 911,911,917 is 835387.
GCF of Denominators means GCF of 58,17,447 as per the given fractions.
GCF of 58,17,447 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 911,911,917
911 | 911, 911, 917 |
1, 1, 917 |
∴ So the LCM of the given numbers is 911 x 1 x 1 x 917 = 835387
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 911,911,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,911,917) = 1
common factors(in case of two or more numbers have common factors) = 911
GCF(911,911,917) x common factors =1 x 911 = 911
LCM(911,911,917) = ( 911 × 911 × 917 ) / 911
LCM(911,911,917) = 761037557 / 911
LCM(911,911,917) = 835387
Lets's calculate GCF of 58,17,447
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 835387/1
Therefore the LCM of Fractions 911/58,911/17,917/447 is 835387
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Greatest Common Factor
We found the factors 58,17,447 . The biggest common factor number is the GCF number.
So the greatest common factor 58,17,447 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 911/58, 911/17, 917/447?
Answer: LCM of Numerators as per given numbers 911/58, 911/17, 917/447 is
LCM of Numerators i.e. for 911,911,917 is 835387
GCF of denominators i.e. for 58,17,447 is 1.
Thus, LCM of Fractions is 835387.Finally, LCM of Fractions for 911/58, 911/17, 917/447 is 835387.