Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 865/37, 985/99, 396/177 quickly i.e. 67480380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 865/37, 985/99, 396/177 is 67480380.
LCM(865/37, 985/99, 396/177) = 67480380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 865/37,985/99,396/177
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 865,985,396
Least Common Multiple of Numerators i.e. LCM of 865,985,396 is 67480380.
GCF of Denominators means GCF of 37,99,177 as per the given fractions.
GCF of 37,99,177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 865,985,396
5 | 865, 985, 396 |
173, 197, 396 |
∴ So the LCM of the given numbers is 5 x 173 x 197 x 396 = 67480380
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 865,985,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,985,396) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(865,985,396) x common factors =1 x 5 = 5
LCM(865,985,396) = ( 865 × 985 × 396 ) / 5
LCM(865,985,396) = 337401900 / 5
LCM(865,985,396) = 67480380
Lets's calculate GCF of 37,99,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67480380/1
Therefore the LCM of Fractions 865/37,985/99,396/177 is 67480380
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 37,99,177 . The biggest common factor number is the GCF number.
So the greatest common factor 37,99,177 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 865/37, 985/99, 396/177?
Answer: LCM of Numerators as per given numbers 865/37, 985/99, 396/177 is
LCM of Numerators i.e. for 865,985,396 is 67480380
GCF of denominators i.e. for 37,99,177 is 1.
Thus, LCM of Fractions is 67480380.Finally, LCM of Fractions for 865/37, 985/99, 396/177 is 67480380.