Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7092/730, 3939/928 quickly i.e. 4655898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7092/730, 3939/928 is 4655898.
LCM(7092/730, 3939/928) = 4655898
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7092/730,3939/928
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 7092,3939
Least Common Multiple of Numerators i.e. LCM of 7092,3939 is 9311796.
GCF of Denominators means GCF of 730,928 as per the given fractions.
GCF of 730,928 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7092,3939
3 | 7092, 3939 |
2364, 1313 |
∴ So the LCM of the given numbers is 3 x 2364 x 1313 = 9311796
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 7092,3939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7092,3939) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7092,3939) x common factors =3 x 1 = 3
LCM(7092,3939) = ( 7092 × 3939 ) / 3
LCM(7092,3939) = 27935388 / 3
LCM(7092,3939) = 9311796
Lets's calculate GCF of 730,928
2 | 730, 928 |
365, 464 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9311796/2
Therefore the LCM of Fractions 7092/730,3939/928 is 4655898
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 730,928 . The biggest common factor number is the GCF number.
So the greatest common factor 730,928 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 7092/730, 3939/928?
Answer: LCM of Numerators as per given numbers 7092/730, 3939/928 is
LCM of Numerators i.e. for 7092,3939 is 9311796
GCF of denominators i.e. for 730,928 is 2.
Thus, LCM of Fractions is 4655898.Finally, LCM of Fractions for 7092/730, 3939/928 is 4655898.