Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9422/782, 9326/6761 quickly i.e. 43934786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9422/782, 9326/6761 is 43934786.
LCM(9422/782, 9326/6761) = 43934786
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9422/782,9326/6761
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 9422,9326
Least Common Multiple of Numerators i.e. LCM of 9422,9326 is 43934786.
GCF of Denominators means GCF of 782,6761 as per the given fractions.
GCF of 782,6761 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9422,9326
2 | 9422, 9326 |
4711, 4663 |
∴ So the LCM of the given numbers is 2 x 4711 x 4663 = 43934786
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 9422,9326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9422,9326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9422,9326) x common factors =2 x 1 = 2
LCM(9422,9326) = ( 9422 × 9326 ) / 2
LCM(9422,9326) = 87869572 / 2
LCM(9422,9326) = 43934786
Lets's calculate GCF of 782,6761
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43934786/1
Therefore the LCM of Fractions 9422/782,9326/6761 is 43934786
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 6761
List of positive integer factors of 6761 that divides 6761 without a remainder.
1,6761
Greatest Common Factor
We found the factors 782,6761 . The biggest common factor number is the GCF number.
So the greatest common factor 782,6761 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 9422/782, 9326/6761?
Answer: LCM of Numerators as per given numbers 9422/782, 9326/6761 is
LCM of Numerators i.e. for 9422,9326 is 43934786
GCF of denominators i.e. for 782,6761 is 1.
Thus, LCM of Fractions is 43934786.Finally, LCM of Fractions for 9422/782, 9326/6761 is 43934786.