Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9422/867, 3435/2328 quickly i.e. 10788190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9422/867, 3435/2328 is 10788190.
LCM(9422/867, 3435/2328) = 10788190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9422/867,3435/2328
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 9422,3435
Least Common Multiple of Numerators i.e. LCM of 9422,3435 is 32364570.
GCF of Denominators means GCF of 867,2328 as per the given fractions.
GCF of 867,2328 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9422,3435
Given numbers has no common factors except 1. So, there LCM is their product i.e 32364570
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 9422,3435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9422,3435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9422,3435) x common factors =1 x 1 = 1
LCM(9422,3435) = ( 9422 × 3435 ) / 1
LCM(9422,3435) = 32364570 / 1
LCM(9422,3435) = 32364570
Lets's calculate GCF of 867,2328
3 | 867, 2328 |
289, 776 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32364570/3
Therefore the LCM of Fractions 9422/867,3435/2328 is 10788190
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 2328
List of positive integer factors of 2328 that divides 2328 without a remainder.
1,2,3,4,6,8,12,24,97,194,291,388,582,776,1164,2328
Greatest Common Factor
We found the factors 867,2328 . The biggest common factor number is the GCF number.
So the greatest common factor 867,2328 is 3.
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 9422/867, 3435/2328?
Answer: LCM of Numerators as per given numbers 9422/867, 3435/2328 is
LCM of Numerators i.e. for 9422,3435 is 32364570
GCF of denominators i.e. for 867,2328 is 3.
Thus, LCM of Fractions is 10788190.Finally, LCM of Fractions for 9422/867, 3435/2328 is 10788190.