Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 106/52, 388/7926 quickly i.e. 10282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 106/52, 388/7926 is 10282.
LCM(106/52, 388/7926) = 10282
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 106/52,388/7926
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 106,388
Least Common Multiple of Numerators i.e. LCM of 106,388 is 20564.
GCF of Denominators means GCF of 52,7926 as per the given fractions.
GCF of 52,7926 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 106,388
2 | 106, 388 |
53, 194 |
∴ So the LCM of the given numbers is 2 x 53 x 194 = 20564
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 106,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,388) x common factors =2 x 1 = 2
LCM(106,388) = ( 106 × 388 ) / 2
LCM(106,388) = 41128 / 2
LCM(106,388) = 20564
Lets's calculate GCF of 52,7926
2 | 52, 7926 |
26, 3963 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20564/2
Therefore the LCM of Fractions 106/52,388/7926 is 10282
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 7926
List of positive integer factors of 7926 that divides 7926 without a remainder.
1,2,3,6,1321,2642,3963,7926
Greatest Common Factor
We found the factors 52,7926 . The biggest common factor number is the GCF number.
So the greatest common factor 52,7926 is 2.
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 106/52, 388/7926?
Answer: LCM of Numerators as per given numbers 106/52, 388/7926 is
LCM of Numerators i.e. for 106,388 is 20564
GCF of denominators i.e. for 52,7926 is 2.
Thus, LCM of Fractions is 10282.Finally, LCM of Fractions for 106/52, 388/7926 is 10282.