Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8824/303, 9603/282 quickly i.e. 28245624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8824/303, 9603/282 is 28245624.
LCM(8824/303, 9603/282) = 28245624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8824/303,9603/282
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 8824,9603
Least Common Multiple of Numerators i.e. LCM of 8824,9603 is 84736872.
GCF of Denominators means GCF of 303,282 as per the given fractions.
GCF of 303,282 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8824,9603
Given numbers has no common factors except 1. So, there LCM is their product i.e 84736872
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 8824,9603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8824,9603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8824,9603) x common factors =1 x 1 = 1
LCM(8824,9603) = ( 8824 × 9603 ) / 1
LCM(8824,9603) = 84736872 / 1
LCM(8824,9603) = 84736872
Lets's calculate GCF of 303,282
3 | 303, 282 |
101, 94 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84736872/3
Therefore the LCM of Fractions 8824/303,9603/282 is 28245624
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 303,282 . The biggest common factor number is the GCF number.
So the greatest common factor 303,282 is 3.
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 8824/303, 9603/282?
Answer: LCM of Numerators as per given numbers 8824/303, 9603/282 is
LCM of Numerators i.e. for 8824,9603 is 84736872
GCF of denominators i.e. for 303,282 is 3.
Thus, LCM of Fractions is 28245624.Finally, LCM of Fractions for 8824/303, 9603/282 is 28245624.