Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/236, 6016/6246 quickly i.e. 21056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/236, 6016/6246 is 21056.
LCM(28/236, 6016/6246) = 21056
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/236,6016/6246
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 28,6016
Least Common Multiple of Numerators i.e. LCM of 28,6016 is 42112.
GCF of Denominators means GCF of 236,6246 as per the given fractions.
GCF of 236,6246 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,6016
2 | 28, 6016 |
2 | 14, 3008 |
7, 1504 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1504 = 42112
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 28,6016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,6016) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(28,6016) x common factors =4 x 1 = 4
LCM(28,6016) = ( 28 × 6016 ) / 4
LCM(28,6016) = 168448 / 4
LCM(28,6016) = 42112
Lets's calculate GCF of 236,6246
2 | 236, 6246 |
118, 3123 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42112/2
Therefore the LCM of Fractions 28/236,6016/6246 is 21056
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 6246
List of positive integer factors of 6246 that divides 6246 without a remainder.
1,2,3,6,9,18,347,694,1041,2082,3123,6246
Greatest Common Factor
We found the factors 236,6246 . The biggest common factor number is the GCF number.
So the greatest common factor 236,6246 is 2.
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 28/236, 6016/6246?
Answer: LCM of Numerators as per given numbers 28/236, 6016/6246 is
LCM of Numerators i.e. for 28,6016 is 42112
GCF of denominators i.e. for 236,6246 is 2.
Thus, LCM of Fractions is 21056.Finally, LCM of Fractions for 28/236, 6016/6246 is 21056.