Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 941/336, 3826/9117 quickly i.e. 3600266/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 941/336, 3826/9117 is 3600266/3.
LCM(941/336, 3826/9117) = 3600266/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 941/336,3826/9117
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 941,3826
Least Common Multiple of Numerators i.e. LCM of 941,3826 is 3600266.
GCF of Denominators means GCF of 336,9117 as per the given fractions.
GCF of 336,9117 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 941,3826
Given numbers has no common factors except 1. So, there LCM is their product i.e 3600266
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 941,3826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,3826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,3826) x common factors =1 x 1 = 1
LCM(941,3826) = ( 941 × 3826 ) / 1
LCM(941,3826) = 3600266 / 1
LCM(941,3826) = 3600266
Lets's calculate GCF of 336,9117
3 | 336, 9117 |
112, 3039 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3600266/3
Therefore the LCM of Fractions 941/336,3826/9117 is 3600266/3
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 9117
List of positive integer factors of 9117 that divides 9117 without a remainder.
1,3,9,1013,3039,9117
Greatest Common Factor
We found the factors 336,9117 . The biggest common factor number is the GCF number.
So the greatest common factor 336,9117 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 941/336, 3826/9117?
Answer: LCM of Numerators as per given numbers 941/336, 3826/9117 is
LCM of Numerators i.e. for 941,3826 is 3600266
GCF of denominators i.e. for 336,9117 is 3.
Thus, LCM of Fractions is 3600266/3.Finally, LCM of Fractions for 941/336, 3826/9117 is 3600266/3.