Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/468, 67/509, 890/519 quickly i.e. 775190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/468, 67/509, 890/519 is 775190.
LCM(13/468, 67/509, 890/519) = 775190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/468,67/509,890/519
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 13,67,890
Least Common Multiple of Numerators i.e. LCM of 13,67,890 is 775190.
GCF of Denominators means GCF of 468,509,519 as per the given fractions.
GCF of 468,509,519 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,67,890
Given numbers has no common factors except 1. So, there LCM is their product i.e 775190
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 13,67,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,67,890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,67,890) x common factors =1 x 1 = 1
LCM(13,67,890) = ( 13 × 67 × 890 ) / 1
LCM(13,67,890) = 775190 / 1
LCM(13,67,890) = 775190
Lets's calculate GCF of 468,509,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 775190/1
Therefore the LCM of Fractions 13/468,67/509,890/519 is 775190
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 468,509,519 . The biggest common factor number is the GCF number.
So the greatest common factor 468,509,519 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 13/468, 67/509, 890/519?
Answer: LCM of Numerators as per given numbers 13/468, 67/509, 890/519 is
LCM of Numerators i.e. for 13,67,890 is 775190
GCF of denominators i.e. for 468,509,519 is 1.
Thus, LCM of Fractions is 775190.Finally, LCM of Fractions for 13/468, 67/509, 890/519 is 775190.