Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 465/95, 397/5919 quickly i.e. 184605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 465/95, 397/5919 is 184605.
LCM(465/95, 397/5919) = 184605
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 465/95,397/5919
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 465,397
Least Common Multiple of Numerators i.e. LCM of 465,397 is 184605.
GCF of Denominators means GCF of 95,5919 as per the given fractions.
GCF of 95,5919 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 465,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 184605
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 465,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(465,397) x common factors =1 x 1 = 1
LCM(465,397) = ( 465 × 397 ) / 1
LCM(465,397) = 184605 / 1
LCM(465,397) = 184605
Lets's calculate GCF of 95,5919
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184605/1
Therefore the LCM of Fractions 465/95,397/5919 is 184605
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 5919
List of positive integer factors of 5919 that divides 5919 without a remainder.
1,3,1973,5919
Greatest Common Factor
We found the factors 95,5919 . The biggest common factor number is the GCF number.
So the greatest common factor 95,5919 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 465/95, 397/5919?
Answer: LCM of Numerators as per given numbers 465/95, 397/5919 is
LCM of Numerators i.e. for 465,397 is 184605
GCF of denominators i.e. for 95,5919 is 1.
Thus, LCM of Fractions is 184605.Finally, LCM of Fractions for 465/95, 397/5919 is 184605.