Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 609/24, 505/25, 319/52 quickly i.e. 3382995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 609/24, 505/25, 319/52 is 3382995.
LCM(609/24, 505/25, 319/52) = 3382995
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 609/24,505/25,319/52
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 609,505,319
Least Common Multiple of Numerators i.e. LCM of 609,505,319 is 3382995.
GCF of Denominators means GCF of 24,25,52 as per the given fractions.
GCF of 24,25,52 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 609,505,319
29 | 609, 505, 319 |
21, 505, 11 |
∴ So the LCM of the given numbers is 29 x 21 x 505 x 11 = 3382995
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 609,505,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,505,319) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(609,505,319) x common factors =1 x 29 = 29
LCM(609,505,319) = ( 609 × 505 × 319 ) / 29
LCM(609,505,319) = 98106855 / 29
LCM(609,505,319) = 3382995
Lets's calculate GCF of 24,25,52
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3382995/1
Therefore the LCM of Fractions 609/24,505/25,319/52 is 3382995
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Greatest Common Factor
We found the factors 24,25,52 . The biggest common factor number is the GCF number.
So the greatest common factor 24,25,52 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 609/24, 505/25, 319/52?
Answer: LCM of Numerators as per given numbers 609/24, 505/25, 319/52 is
LCM of Numerators i.e. for 609,505,319 is 3382995
GCF of denominators i.e. for 24,25,52 is 1.
Thus, LCM of Fractions is 3382995.Finally, LCM of Fractions for 609/24, 505/25, 319/52 is 3382995.