Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8319/484, 1522/9845 quickly i.e. 12661518/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8319/484, 1522/9845 is 12661518/11.
LCM(8319/484, 1522/9845) = 12661518/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8319/484,1522/9845
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 8319,1522
Least Common Multiple of Numerators i.e. LCM of 8319,1522 is 12661518.
GCF of Denominators means GCF of 484,9845 as per the given fractions.
GCF of 484,9845 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8319,1522
Given numbers has no common factors except 1. So, there LCM is their product i.e 12661518
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 8319,1522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8319,1522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8319,1522) x common factors =1 x 1 = 1
LCM(8319,1522) = ( 8319 × 1522 ) / 1
LCM(8319,1522) = 12661518 / 1
LCM(8319,1522) = 12661518
Lets's calculate GCF of 484,9845
11 | 484, 9845 |
44, 895 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12661518/11
Therefore the LCM of Fractions 8319/484,1522/9845 is 12661518/11
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 9845
List of positive integer factors of 9845 that divides 9845 without a remainder.
1,5,11,55,179,895,1969,9845
Greatest Common Factor
We found the factors 484,9845 . The biggest common factor number is the GCF number.
So the greatest common factor 484,9845 is 11.
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 8319/484, 1522/9845?
Answer: LCM of Numerators as per given numbers 8319/484, 1522/9845 is
LCM of Numerators i.e. for 8319,1522 is 12661518
GCF of denominators i.e. for 484,9845 is 11.
Thus, LCM of Fractions is 12661518/11.Finally, LCM of Fractions for 8319/484, 1522/9845 is 12661518/11.