Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/467, 1568/7922 quickly i.e. 67424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/467, 1568/7922 is 67424.
LCM(86/467, 1568/7922) = 67424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/467,1568/7922
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 86,1568
Least Common Multiple of Numerators i.e. LCM of 86,1568 is 67424.
GCF of Denominators means GCF of 467,7922 as per the given fractions.
GCF of 467,7922 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,1568
2 | 86, 1568 |
43, 784 |
∴ So the LCM of the given numbers is 2 x 43 x 784 = 67424
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 86,1568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,1568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,1568) x common factors =2 x 1 = 2
LCM(86,1568) = ( 86 × 1568 ) / 2
LCM(86,1568) = 134848 / 2
LCM(86,1568) = 67424
Lets's calculate GCF of 467,7922
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67424/1
Therefore the LCM of Fractions 86/467,1568/7922 is 67424
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 7922
List of positive integer factors of 7922 that divides 7922 without a remainder.
1,2,17,34,233,466,3961,7922
Greatest Common Factor
We found the factors 467,7922 . The biggest common factor number is the GCF number.
So the greatest common factor 467,7922 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 86/467, 1568/7922?
Answer: LCM of Numerators as per given numbers 86/467, 1568/7922 is
LCM of Numerators i.e. for 86,1568 is 67424
GCF of denominators i.e. for 467,7922 is 1.
Thus, LCM of Fractions is 67424.Finally, LCM of Fractions for 86/467, 1568/7922 is 67424.