Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/387, 3184/7285 quickly i.e. 302480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/387, 3184/7285 is 302480.
LCM(95/387, 3184/7285) = 302480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/387,3184/7285
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 95,3184
Least Common Multiple of Numerators i.e. LCM of 95,3184 is 302480.
GCF of Denominators means GCF of 387,7285 as per the given fractions.
GCF of 387,7285 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,3184
Given numbers has no common factors except 1. So, there LCM is their product i.e 302480
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 95,3184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,3184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,3184) x common factors =1 x 1 = 1
LCM(95,3184) = ( 95 × 3184 ) / 1
LCM(95,3184) = 302480 / 1
LCM(95,3184) = 302480
Lets's calculate GCF of 387,7285
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302480/1
Therefore the LCM of Fractions 95/387,3184/7285 is 302480
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 7285
List of positive integer factors of 7285 that divides 7285 without a remainder.
1,5,31,47,155,235,1457,7285
Greatest Common Factor
We found the factors 387,7285 . The biggest common factor number is the GCF number.
So the greatest common factor 387,7285 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 95/387, 3184/7285?
Answer: LCM of Numerators as per given numbers 95/387, 3184/7285 is
LCM of Numerators i.e. for 95,3184 is 302480
GCF of denominators i.e. for 387,7285 is 1.
Thus, LCM of Fractions is 302480.Finally, LCM of Fractions for 95/387, 3184/7285 is 302480.