Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9838/665, 5807/554 quickly i.e. 57129266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9838/665, 5807/554 is 57129266.
LCM(9838/665, 5807/554) = 57129266
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9838/665,5807/554
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 9838,5807
Least Common Multiple of Numerators i.e. LCM of 9838,5807 is 57129266.
GCF of Denominators means GCF of 665,554 as per the given fractions.
GCF of 665,554 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9838,5807
Given numbers has no common factors except 1. So, there LCM is their product i.e 57129266
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 9838,5807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9838,5807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9838,5807) x common factors =1 x 1 = 1
LCM(9838,5807) = ( 9838 × 5807 ) / 1
LCM(9838,5807) = 57129266 / 1
LCM(9838,5807) = 57129266
Lets's calculate GCF of 665,554
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57129266/1
Therefore the LCM of Fractions 9838/665,5807/554 is 57129266
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Greatest Common Factor
We found the factors 665,554 . The biggest common factor number is the GCF number.
So the greatest common factor 665,554 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 9838/665, 5807/554?
Answer: LCM of Numerators as per given numbers 9838/665, 5807/554 is
LCM of Numerators i.e. for 9838,5807 is 57129266
GCF of denominators i.e. for 665,554 is 1.
Thus, LCM of Fractions is 57129266.Finally, LCM of Fractions for 9838/665, 5807/554 is 57129266.