Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3617/784, 6738/2768 quickly i.e. 24371346/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3617/784, 6738/2768 is 24371346/16.
LCM(3617/784, 6738/2768) = 24371346/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3617/784,6738/2768
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 3617,6738
Least Common Multiple of Numerators i.e. LCM of 3617,6738 is 24371346.
GCF of Denominators means GCF of 784,2768 as per the given fractions.
GCF of 784,2768 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3617,6738
Given numbers has no common factors except 1. So, there LCM is their product i.e 24371346
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 3617,6738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3617,6738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3617,6738) x common factors =1 x 1 = 1
LCM(3617,6738) = ( 3617 × 6738 ) / 1
LCM(3617,6738) = 24371346 / 1
LCM(3617,6738) = 24371346
Lets's calculate GCF of 784,2768
2 | 784, 2768 |
2 | 392, 1384 |
2 | 196, 692 |
2 | 98, 346 |
49, 173 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24371346/16
Therefore the LCM of Fractions 3617/784,6738/2768 is 24371346/16
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 2768
List of positive integer factors of 2768 that divides 2768 without a remainder.
1,2,4,8,16,173,346,692,1384,2768
Greatest Common Factor
We found the factors 784,2768 . The biggest common factor number is the GCF number.
So the greatest common factor 784,2768 is 16.
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 3617/784, 6738/2768?
Answer: LCM of Numerators as per given numbers 3617/784, 6738/2768 is
LCM of Numerators i.e. for 3617,6738 is 24371346
GCF of denominators i.e. for 784,2768 is 16.
Thus, LCM of Fractions is 24371346/16.Finally, LCM of Fractions for 3617/784, 6738/2768 is 24371346/16.