Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 393/140, 575/420, 325/915 quickly i.e. 587535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 393/140, 575/420, 325/915 is 587535.
LCM(393/140, 575/420, 325/915) = 587535
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 393/140,575/420,325/915
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 393,575,325
Least Common Multiple of Numerators i.e. LCM of 393,575,325 is 2937675.
GCF of Denominators means GCF of 140,420,915 as per the given fractions.
GCF of 140,420,915 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 393,575,325
5 | 393, 575, 325 |
5 | 393, 115, 65 |
393, 23, 13 |
∴ So the LCM of the given numbers is 5 x 5 x 393 x 23 x 13 = 2937675
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 393,575,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,575,325) = 1
common factors(in case of two or more numbers have common factors) = 25
GCF(393,575,325) x common factors =1 x 25 = 25
LCM(393,575,325) = ( 393 × 575 × 325 ) / 25
LCM(393,575,325) = 73441875 / 25
LCM(393,575,325) = 2937675
Lets's calculate GCF of 140,420,915
5 | 140, 420, 915 |
28, 84, 183 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2937675/5
Therefore the LCM of Fractions 393/140,575/420,325/915 is 587535
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 140,420,915 . The biggest common factor number is the GCF number.
So the greatest common factor 140,420,915 is 5.
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 393/140, 575/420, 325/915?
Answer: LCM of Numerators as per given numbers 393/140, 575/420, 325/915 is
LCM of Numerators i.e. for 393,575,325 is 2937675
GCF of denominators i.e. for 140,420,915 is 5.
Thus, LCM of Fractions is 587535.Finally, LCM of Fractions for 393/140, 575/420, 325/915 is 587535.