Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/647, 287/784, 933/114 quickly i.e. 15798489 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/647, 287/784, 933/114 is 15798489.
LCM(59/647, 287/784, 933/114) = 15798489
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/647,287/784,933/114
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 59,287,933
Least Common Multiple of Numerators i.e. LCM of 59,287,933 is 15798489.
GCF of Denominators means GCF of 647,784,114 as per the given fractions.
GCF of 647,784,114 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,287,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 15798489
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 59,287,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,287,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,287,933) x common factors =1 x 1 = 1
LCM(59,287,933) = ( 59 × 287 × 933 ) / 1
LCM(59,287,933) = 15798489 / 1
LCM(59,287,933) = 15798489
Lets's calculate GCF of 647,784,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15798489/1
Therefore the LCM of Fractions 59/647,287/784,933/114 is 15798489
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
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 647,784,114 . The biggest common factor number is the GCF number.
So the greatest common factor 647,784,114 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 59/647, 287/784, 933/114?
Answer: LCM of Numerators as per given numbers 59/647, 287/784, 933/114 is
LCM of Numerators i.e. for 59,287,933 is 15798489
GCF of denominators i.e. for 647,784,114 is 1.
Thus, LCM of Fractions is 15798489.Finally, LCM of Fractions for 59/647, 287/784, 933/114 is 15798489.