Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 123/517, 3782/620 quickly i.e. 465186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 123/517, 3782/620 is 465186.
LCM(123/517, 3782/620) = 465186
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 123/517,3782/620
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 123,3782
Least Common Multiple of Numerators i.e. LCM of 123,3782 is 465186.
GCF of Denominators means GCF of 517,620 as per the given fractions.
GCF of 517,620 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 123,3782
Given numbers has no common factors except 1. So, there LCM is their product i.e 465186
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 123,3782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,3782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,3782) x common factors =1 x 1 = 1
LCM(123,3782) = ( 123 × 3782 ) / 1
LCM(123,3782) = 465186 / 1
LCM(123,3782) = 465186
Lets's calculate GCF of 517,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 465186/1
Therefore the LCM of Fractions 123/517,3782/620 is 465186
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 517,620 . The biggest common factor number is the GCF number.
So the greatest common factor 517,620 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 123/517, 3782/620?
Answer: LCM of Numerators as per given numbers 123/517, 3782/620 is
LCM of Numerators i.e. for 123,3782 is 465186
GCF of denominators i.e. for 517,620 is 1.
Thus, LCM of Fractions is 465186.Finally, LCM of Fractions for 123/517, 3782/620 is 465186.