Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9202/48, 5620/486 quickly i.e. 25857620/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9202/48, 5620/486 is 25857620/6.
LCM(9202/48, 5620/486) = 25857620/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9202/48,5620/486
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 9202,5620
Least Common Multiple of Numerators i.e. LCM of 9202,5620 is 25857620.
GCF of Denominators means GCF of 48,486 as per the given fractions.
GCF of 48,486 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9202,5620
2 | 9202, 5620 |
4601, 2810 |
∴ So the LCM of the given numbers is 2 x 4601 x 2810 = 25857620
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 9202,5620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9202,5620) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9202,5620) x common factors =2 x 1 = 2
LCM(9202,5620) = ( 9202 × 5620 ) / 2
LCM(9202,5620) = 51715240 / 2
LCM(9202,5620) = 25857620
Lets's calculate GCF of 48,486
2 | 48, 486 |
3 | 24, 243 |
8, 81 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25857620/6
Therefore the LCM of Fractions 9202/48,5620/486 is 25857620/6
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 48,486 . The biggest common factor number is the GCF number.
So the greatest common factor 48,486 is 6.
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 9202/48, 5620/486?
Answer: LCM of Numerators as per given numbers 9202/48, 5620/486 is
LCM of Numerators i.e. for 9202,5620 is 25857620
GCF of denominators i.e. for 48,486 is 6.
Thus, LCM of Fractions is 25857620/6.Finally, LCM of Fractions for 9202/48, 5620/486 is 25857620/6.