Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9800/296, 6616/5633 quickly i.e. 8104600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9800/296, 6616/5633 is 8104600.
LCM(9800/296, 6616/5633) = 8104600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9800/296,6616/5633
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 9800,6616
Least Common Multiple of Numerators i.e. LCM of 9800,6616 is 8104600.
GCF of Denominators means GCF of 296,5633 as per the given fractions.
GCF of 296,5633 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9800,6616
2 | 9800, 6616 |
2 | 4900, 3308 |
2 | 2450, 1654 |
1225, 827 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1225 x 827 = 8104600
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 9800,6616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9800,6616) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(9800,6616) x common factors =8 x 1 = 8
LCM(9800,6616) = ( 9800 × 6616 ) / 8
LCM(9800,6616) = 64836800 / 8
LCM(9800,6616) = 8104600
Lets's calculate GCF of 296,5633
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8104600/1
Therefore the LCM of Fractions 9800/296,6616/5633 is 8104600
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 5633
List of positive integer factors of 5633 that divides 5633 without a remainder.
1,43,131,5633
Greatest Common Factor
We found the factors 296,5633 . The biggest common factor number is the GCF number.
So the greatest common factor 296,5633 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 9800/296, 6616/5633?
Answer: LCM of Numerators as per given numbers 9800/296, 6616/5633 is
LCM of Numerators i.e. for 9800,6616 is 8104600
GCF of denominators i.e. for 296,5633 is 1.
Thus, LCM of Fractions is 8104600.Finally, LCM of Fractions for 9800/296, 6616/5633 is 8104600.