Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 441/91, 912/3108 quickly i.e. 19152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 441/91, 912/3108 is 19152.
LCM(441/91, 912/3108) = 19152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 441/91,912/3108
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 441,912
Least Common Multiple of Numerators i.e. LCM of 441,912 is 134064.
GCF of Denominators means GCF of 91,3108 as per the given fractions.
GCF of 91,3108 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 441,912
3 | 441, 912 |
147, 304 |
∴ So the LCM of the given numbers is 3 x 147 x 304 = 134064
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 441,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,912) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(441,912) x common factors =3 x 1 = 3
LCM(441,912) = ( 441 × 912 ) / 3
LCM(441,912) = 402192 / 3
LCM(441,912) = 134064
Lets's calculate GCF of 91,3108
7 | 91, 3108 |
13, 444 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134064/7
Therefore the LCM of Fractions 441/91,912/3108 is 19152
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 3108
List of positive integer factors of 3108 that divides 3108 without a remainder.
1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108
Greatest Common Factor
We found the factors 91,3108 . The biggest common factor number is the GCF number.
So the greatest common factor 91,3108 is 7.
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 441/91, 912/3108?
Answer: LCM of Numerators as per given numbers 441/91, 912/3108 is
LCM of Numerators i.e. for 441,912 is 134064
GCF of denominators i.e. for 91,3108 is 7.
Thus, LCM of Fractions is 19152.Finally, LCM of Fractions for 441/91, 912/3108 is 19152.