Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/734, 3396/6928 quickly i.e. 79806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/734, 3396/6928 is 79806.
LCM(94/734, 3396/6928) = 79806
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/734,3396/6928
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 94,3396
Least Common Multiple of Numerators i.e. LCM of 94,3396 is 159612.
GCF of Denominators means GCF of 734,6928 as per the given fractions.
GCF of 734,6928 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,3396
2 | 94, 3396 |
47, 1698 |
∴ So the LCM of the given numbers is 2 x 47 x 1698 = 159612
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 94,3396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,3396) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,3396) x common factors =2 x 1 = 2
LCM(94,3396) = ( 94 × 3396 ) / 2
LCM(94,3396) = 319224 / 2
LCM(94,3396) = 159612
Lets's calculate GCF of 734,6928
2 | 734, 6928 |
367, 3464 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159612/2
Therefore the LCM of Fractions 94/734,3396/6928 is 79806
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 6928
List of positive integer factors of 6928 that divides 6928 without a remainder.
1,2,4,8,16,433,866,1732,3464,6928
Greatest Common Factor
We found the factors 734,6928 . The biggest common factor number is the GCF number.
So the greatest common factor 734,6928 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 94/734, 3396/6928?
Answer: LCM of Numerators as per given numbers 94/734, 3396/6928 is
LCM of Numerators i.e. for 94,3396 is 159612
GCF of denominators i.e. for 734,6928 is 2.
Thus, LCM of Fractions is 79806.Finally, LCM of Fractions for 94/734, 3396/6928 is 79806.