Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3384/351, 6074/111 quickly i.e. 3425736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3384/351, 6074/111 is 3425736.
LCM(3384/351, 6074/111) = 3425736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3384/351,6074/111
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 3384,6074
Least Common Multiple of Numerators i.e. LCM of 3384,6074 is 10277208.
GCF of Denominators means GCF of 351,111 as per the given fractions.
GCF of 351,111 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3384,6074
2 | 3384, 6074 |
1692, 3037 |
∴ So the LCM of the given numbers is 2 x 1692 x 3037 = 10277208
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 3384,6074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3384,6074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3384,6074) x common factors =2 x 1 = 2
LCM(3384,6074) = ( 3384 × 6074 ) / 2
LCM(3384,6074) = 20554416 / 2
LCM(3384,6074) = 10277208
Lets's calculate GCF of 351,111
3 | 351, 111 |
117, 37 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10277208/3
Therefore the LCM of Fractions 3384/351,6074/111 is 3425736
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 351,111 . The biggest common factor number is the GCF number.
So the greatest common factor 351,111 is 3.
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 3384/351, 6074/111?
Answer: LCM of Numerators as per given numbers 3384/351, 6074/111 is
LCM of Numerators i.e. for 3384,6074 is 10277208
GCF of denominators i.e. for 351,111 is 3.
Thus, LCM of Fractions is 3425736.Finally, LCM of Fractions for 3384/351, 6074/111 is 3425736.