Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/172, 483/283, 845/323 quickly i.e. 408135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/172, 483/283, 845/323 is 408135.
LCM(21/172, 483/283, 845/323) = 408135
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/172,483/283,845/323
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 21,483,845
Least Common Multiple of Numerators i.e. LCM of 21,483,845 is 408135.
GCF of Denominators means GCF of 172,283,323 as per the given fractions.
GCF of 172,283,323 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,483,845
3 | 21, 483, 845 |
7 | 7, 161, 845 |
1, 23, 845 |
∴ So the LCM of the given numbers is 3 x 7 x 1 x 23 x 845 = 408135
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 21,483,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,483,845) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(21,483,845) x common factors =1 x 21 = 21
LCM(21,483,845) = ( 21 × 483 × 845 ) / 21
LCM(21,483,845) = 8570835 / 21
LCM(21,483,845) = 408135
Lets's calculate GCF of 172,283,323
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408135/1
Therefore the LCM of Fractions 21/172,483/283,845/323 is 408135
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Greatest Common Factor
We found the factors 172,283,323 . The biggest common factor number is the GCF number.
So the greatest common factor 172,283,323 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 21/172, 483/283, 845/323?
Answer: LCM of Numerators as per given numbers 21/172, 483/283, 845/323 is
LCM of Numerators i.e. for 21,483,845 is 408135
GCF of denominators i.e. for 172,283,323 is 1.
Thus, LCM of Fractions is 408135.Finally, LCM of Fractions for 21/172, 483/283, 845/323 is 408135.