Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 481/325, 303/928, 444/100 quickly i.e. 582972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 481/325, 303/928, 444/100 is 582972.
LCM(481/325, 303/928, 444/100) = 582972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 481/325,303/928,444/100
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 481,303,444
Least Common Multiple of Numerators i.e. LCM of 481,303,444 is 582972.
GCF of Denominators means GCF of 325,928,100 as per the given fractions.
GCF of 325,928,100 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 481,303,444
3 | 481, 303, 444 |
37 | 481, 101, 148 |
13, 101, 4 |
∴ So the LCM of the given numbers is 3 x 37 x 13 x 101 x 4 = 582972
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 481,303,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,303,444) = 1
common factors(in case of two or more numbers have common factors) = 111
GCF(481,303,444) x common factors =1 x 111 = 111
LCM(481,303,444) = ( 481 × 303 × 444 ) / 111
LCM(481,303,444) = 64709892 / 111
LCM(481,303,444) = 582972
Lets's calculate GCF of 325,928,100
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 582972/1
Therefore the LCM of Fractions 481/325,303/928,444/100 is 582972
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 325,928,100 . The biggest common factor number is the GCF number.
So the greatest common factor 325,928,100 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 481/325, 303/928, 444/100?
Answer: LCM of Numerators as per given numbers 481/325, 303/928, 444/100 is
LCM of Numerators i.e. for 481,303,444 is 582972
GCF of denominators i.e. for 325,928,100 is 1.
Thus, LCM of Fractions is 582972.Finally, LCM of Fractions for 481/325, 303/928, 444/100 is 582972.