Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 326/40, 365/12, 879/503 quickly i.e. 104592210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 326/40, 365/12, 879/503 is 104592210.
LCM(326/40, 365/12, 879/503) = 104592210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 326/40,365/12,879/503
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 326,365,879
Least Common Multiple of Numerators i.e. LCM of 326,365,879 is 104592210.
GCF of Denominators means GCF of 40,12,503 as per the given fractions.
GCF of 40,12,503 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 326,365,879
Given numbers has no common factors except 1. So, there LCM is their product i.e 104592210
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 326,365,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,365,879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,365,879) x common factors =1 x 1 = 1
LCM(326,365,879) = ( 326 × 365 × 879 ) / 1
LCM(326,365,879) = 104592210 / 1
LCM(326,365,879) = 104592210
Lets's calculate GCF of 40,12,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104592210/1
Therefore the LCM of Fractions 326/40,365/12,879/503 is 104592210
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Greatest Common Factor
We found the factors 40,12,503 . The biggest common factor number is the GCF number.
So the greatest common factor 40,12,503 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 326/40, 365/12, 879/503?
Answer: LCM of Numerators as per given numbers 326/40, 365/12, 879/503 is
LCM of Numerators i.e. for 326,365,879 is 104592210
GCF of denominators i.e. for 40,12,503 is 1.
Thus, LCM of Fractions is 104592210.Finally, LCM of Fractions for 326/40, 365/12, 879/503 is 104592210.