Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/81, 61/37, 324/886 quickly i.e. 1877580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/81, 61/37, 324/886 is 1877580.
LCM(95/81, 61/37, 324/886) = 1877580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/81,61/37,324/886
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 95,61,324
Least Common Multiple of Numerators i.e. LCM of 95,61,324 is 1877580.
GCF of Denominators means GCF of 81,37,886 as per the given fractions.
GCF of 81,37,886 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,61,324
Given numbers has no common factors except 1. So, there LCM is their product i.e 1877580
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 95,61,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,61,324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,61,324) x common factors =1 x 1 = 1
LCM(95,61,324) = ( 95 × 61 × 324 ) / 1
LCM(95,61,324) = 1877580 / 1
LCM(95,61,324) = 1877580
Lets's calculate GCF of 81,37,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1877580/1
Therefore the LCM of Fractions 95/81,61/37,324/886 is 1877580
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 81,37,886 . The biggest common factor number is the GCF number.
So the greatest common factor 81,37,886 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 95/81, 61/37, 324/886?
Answer: LCM of Numerators as per given numbers 95/81, 61/37, 324/886 is
LCM of Numerators i.e. for 95,61,324 is 1877580
GCF of denominators i.e. for 81,37,886 is 1.
Thus, LCM of Fractions is 1877580.Finally, LCM of Fractions for 95/81, 61/37, 324/886 is 1877580.