Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/119, 10/766, 589/117 quickly i.e. 217930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/119, 10/766, 589/117 is 217930.
LCM(37/119, 10/766, 589/117) = 217930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/119,10/766,589/117
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 37,10,589
Least Common Multiple of Numerators i.e. LCM of 37,10,589 is 217930.
GCF of Denominators means GCF of 119,766,117 as per the given fractions.
GCF of 119,766,117 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,10,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 217930
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 37,10,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,10,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,10,589) x common factors =1 x 1 = 1
LCM(37,10,589) = ( 37 × 10 × 589 ) / 1
LCM(37,10,589) = 217930 / 1
LCM(37,10,589) = 217930
Lets's calculate GCF of 119,766,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217930/1
Therefore the LCM of Fractions 37/119,10/766,589/117 is 217930
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Greatest Common Factor
We found the factors 119,766,117 . The biggest common factor number is the GCF number.
So the greatest common factor 119,766,117 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 37/119, 10/766, 589/117?
Answer: LCM of Numerators as per given numbers 37/119, 10/766, 589/117 is
LCM of Numerators i.e. for 37,10,589 is 217930
GCF of denominators i.e. for 119,766,117 is 1.
Thus, LCM of Fractions is 217930.Finally, LCM of Fractions for 37/119, 10/766, 589/117 is 217930.