Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 447/911, 328/444, 428/427 quickly i.e. 15687912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 447/911, 328/444, 428/427 is 15687912.
LCM(447/911, 328/444, 428/427) = 15687912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 447/911,328/444,428/427
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 447,328,428
Least Common Multiple of Numerators i.e. LCM of 447,328,428 is 15687912.
GCF of Denominators means GCF of 911,444,427 as per the given fractions.
GCF of 911,444,427 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 447,328,428
2 | 447, 328, 428 |
2 | 447, 164, 214 |
447, 82, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 447 x 82 x 107 = 15687912
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 447,328,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,328,428) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(447,328,428) x common factors =1 x 4 = 4
LCM(447,328,428) = ( 447 × 328 × 428 ) / 4
LCM(447,328,428) = 62751648 / 4
LCM(447,328,428) = 15687912
Lets's calculate GCF of 911,444,427
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15687912/1
Therefore the LCM of Fractions 447/911,328/444,428/427 is 15687912
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Greatest Common Factor
We found the factors 911,444,427 . The biggest common factor number is the GCF number.
So the greatest common factor 911,444,427 is 1.
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 447/911, 328/444, 428/427?
Answer: LCM of Numerators as per given numbers 447/911, 328/444, 428/427 is
LCM of Numerators i.e. for 447,328,428 is 15687912
GCF of denominators i.e. for 911,444,427 is 1.
Thus, LCM of Fractions is 15687912.Finally, LCM of Fractions for 447/911, 328/444, 428/427 is 15687912.