Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3479/299, 3373/437 quickly i.e. 11734667/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3479/299, 3373/437 is 11734667/23.
LCM(3479/299, 3373/437) = 11734667/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3479/299,3373/437
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 3479,3373
Least Common Multiple of Numerators i.e. LCM of 3479,3373 is 11734667.
GCF of Denominators means GCF of 299,437 as per the given fractions.
GCF of 299,437 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3479,3373
Given numbers has no common factors except 1. So, there LCM is their product i.e 11734667
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 3479,3373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3479,3373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3479,3373) x common factors =1 x 1 = 1
LCM(3479,3373) = ( 3479 × 3373 ) / 1
LCM(3479,3373) = 11734667 / 1
LCM(3479,3373) = 11734667
Lets's calculate GCF of 299,437
23 | 299, 437 |
13, 19 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11734667/23
Therefore the LCM of Fractions 3479/299,3373/437 is 11734667/23
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Greatest Common Factor
We found the factors 299,437 . The biggest common factor number is the GCF number.
So the greatest common factor 299,437 is 23.
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 3479/299, 3373/437?
Answer: LCM of Numerators as per given numbers 3479/299, 3373/437 is
LCM of Numerators i.e. for 3479,3373 is 11734667
GCF of denominators i.e. for 299,437 is 23.
Thus, LCM of Fractions is 11734667/23.Finally, LCM of Fractions for 3479/299, 3373/437 is 11734667/23.