Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/236, 2419/7294 quickly i.e. 94341/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/236, 2419/7294 is 94341/2.
LCM(39/236, 2419/7294) = 94341/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/236,2419/7294
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 39,2419
Least Common Multiple of Numerators i.e. LCM of 39,2419 is 94341.
GCF of Denominators means GCF of 236,7294 as per the given fractions.
GCF of 236,7294 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,2419
Given numbers has no common factors except 1. So, there LCM is their product i.e 94341
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 39,2419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,2419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,2419) x common factors =1 x 1 = 1
LCM(39,2419) = ( 39 × 2419 ) / 1
LCM(39,2419) = 94341 / 1
LCM(39,2419) = 94341
Lets's calculate GCF of 236,7294
2 | 236, 7294 |
118, 3647 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94341/2
Therefore the LCM of Fractions 39/236,2419/7294 is 94341/2
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 7294
List of positive integer factors of 7294 that divides 7294 without a remainder.
1,2,7,14,521,1042,3647,7294
Greatest Common Factor
We found the factors 236,7294 . The biggest common factor number is the GCF number.
So the greatest common factor 236,7294 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 39/236, 2419/7294?
Answer: LCM of Numerators as per given numbers 39/236, 2419/7294 is
LCM of Numerators i.e. for 39,2419 is 94341
GCF of denominators i.e. for 236,7294 is 2.
Thus, LCM of Fractions is 94341/2.Finally, LCM of Fractions for 39/236, 2419/7294 is 94341/2.