Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 481/972, 999/147, 243/503 quickly i.e. 116883 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 481/972, 999/147, 243/503 is 116883.
LCM(481/972, 999/147, 243/503) = 116883
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 481/972,999/147,243/503
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 481,999,243
Least Common Multiple of Numerators i.e. LCM of 481,999,243 is 116883.
GCF of Denominators means GCF of 972,147,503 as per the given fractions.
GCF of 972,147,503 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 481,999,243
3 | 481, 999, 243 |
3 | 481, 333, 81 |
3 | 481, 111, 27 |
37 | 481, 37, 9 |
13, 1, 9 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 37 x 13 x 1 x 9 = 116883
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 481,999,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,999,243) = 1
common factors(in case of two or more numbers have common factors) = 999
GCF(481,999,243) x common factors =1 x 999 = 999
LCM(481,999,243) = ( 481 × 999 × 243 ) / 999
LCM(481,999,243) = 116766117 / 999
LCM(481,999,243) = 116883
Lets's calculate GCF of 972,147,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116883/1
Therefore the LCM of Fractions 481/972,999/147,243/503 is 116883
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Greatest Common Factor
We found the factors 972,147,503 . The biggest common factor number is the GCF number.
So the greatest common factor 972,147,503 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 481/972, 999/147, 243/503?
Answer: LCM of Numerators as per given numbers 481/972, 999/147, 243/503 is
LCM of Numerators i.e. for 481,999,243 is 116883
GCF of denominators i.e. for 972,147,503 is 1.
Thus, LCM of Fractions is 116883.Finally, LCM of Fractions for 481/972, 999/147, 243/503 is 116883.