Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 255/322, 4350/1725 quickly i.e. 73950/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 255/322, 4350/1725 is 73950/23.
LCM(255/322, 4350/1725) = 73950/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 255/322,4350/1725
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 255,4350
Least Common Multiple of Numerators i.e. LCM of 255,4350 is 73950.
GCF of Denominators means GCF of 322,1725 as per the given fractions.
GCF of 322,1725 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 255,4350
3 | 255, 4350 |
5 | 85, 1450 |
17, 290 |
∴ So the LCM of the given numbers is 3 x 5 x 17 x 290 = 73950
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 255,4350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,4350) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(255,4350) x common factors =15 x 1 = 15
LCM(255,4350) = ( 255 × 4350 ) / 15
LCM(255,4350) = 1109250 / 15
LCM(255,4350) = 73950
Lets's calculate GCF of 322,1725
23 | 322, 1725 |
14, 75 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73950/23
Therefore the LCM of Fractions 255/322,4350/1725 is 73950/23
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 1725
List of positive integer factors of 1725 that divides 1725 without a remainder.
1,3,5,15,23,25,69,75,115,345,575,1725
Greatest Common Factor
We found the factors 322,1725 . The biggest common factor number is the GCF number.
So the greatest common factor 322,1725 is 23.
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 255/322, 4350/1725?
Answer: LCM of Numerators as per given numbers 255/322, 4350/1725 is
LCM of Numerators i.e. for 255,4350 is 73950
GCF of denominators i.e. for 322,1725 is 23.
Thus, LCM of Fractions is 73950/23.Finally, LCM of Fractions for 255/322, 4350/1725 is 73950/23.