Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8295/747, 8428/733 quickly i.e. 9987180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8295/747, 8428/733 is 9987180.
LCM(8295/747, 8428/733) = 9987180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8295/747,8428/733
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 8295,8428
Least Common Multiple of Numerators i.e. LCM of 8295,8428 is 9987180.
GCF of Denominators means GCF of 747,733 as per the given fractions.
GCF of 747,733 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8295,8428
7 | 8295, 8428 |
1185, 1204 |
∴ So the LCM of the given numbers is 7 x 1185 x 1204 = 9987180
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 8295,8428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8295,8428) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(8295,8428) x common factors =7 x 1 = 7
LCM(8295,8428) = ( 8295 × 8428 ) / 7
LCM(8295,8428) = 69910260 / 7
LCM(8295,8428) = 9987180
Lets's calculate GCF of 747,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9987180/1
Therefore the LCM of Fractions 8295/747,8428/733 is 9987180
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 747,733 . The biggest common factor number is the GCF number.
So the greatest common factor 747,733 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 8295/747, 8428/733?
Answer: LCM of Numerators as per given numbers 8295/747, 8428/733 is
LCM of Numerators i.e. for 8295,8428 is 9987180
GCF of denominators i.e. for 747,733 is 1.
Thus, LCM of Fractions is 9987180.Finally, LCM of Fractions for 8295/747, 8428/733 is 9987180.