Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/93, 3907/341 quickly i.e. 797028/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/93, 3907/341 is 797028/31.
LCM(204/93, 3907/341) = 797028/31
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/93,3907/341
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 204,3907
Least Common Multiple of Numerators i.e. LCM of 204,3907 is 797028.
GCF of Denominators means GCF of 93,341 as per the given fractions.
GCF of 93,341 is 31 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,3907
Given numbers has no common factors except 1. So, there LCM is their product i.e 797028
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 204,3907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,3907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,3907) x common factors =1 x 1 = 1
LCM(204,3907) = ( 204 × 3907 ) / 1
LCM(204,3907) = 797028 / 1
LCM(204,3907) = 797028
Lets's calculate GCF of 93,341
31 | 93, 341 |
3, 11 |
∴ So the GCF of the given numbers is 31 = 31
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 797028/31
Therefore the LCM of Fractions 204/93,3907/341 is 797028/31
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 93,341 . The biggest common factor number is the GCF number.
So the greatest common factor 93,341 is 31.
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 204/93, 3907/341?
Answer: LCM of Numerators as per given numbers 204/93, 3907/341 is
LCM of Numerators i.e. for 204,3907 is 797028
GCF of denominators i.e. for 93,341 is 31.
Thus, LCM of Fractions is 797028/31.Finally, LCM of Fractions for 204/93, 3907/341 is 797028/31.