Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 487/25, 329/74, 669/165 quickly i.e. 107189187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 487/25, 329/74, 669/165 is 107189187.
LCM(487/25, 329/74, 669/165) = 107189187
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 487/25,329/74,669/165
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 487,329,669
Least Common Multiple of Numerators i.e. LCM of 487,329,669 is 107189187.
GCF of Denominators means GCF of 25,74,165 as per the given fractions.
GCF of 25,74,165 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 487,329,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 107189187
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 487,329,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,329,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,329,669) x common factors =1 x 1 = 1
LCM(487,329,669) = ( 487 × 329 × 669 ) / 1
LCM(487,329,669) = 107189187 / 1
LCM(487,329,669) = 107189187
Lets's calculate GCF of 25,74,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107189187/1
Therefore the LCM of Fractions 487/25,329/74,669/165 is 107189187
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 25,74,165 . The biggest common factor number is the GCF number.
So the greatest common factor 25,74,165 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 487/25, 329/74, 669/165?
Answer: LCM of Numerators as per given numbers 487/25, 329/74, 669/165 is
LCM of Numerators i.e. for 487,329,669 is 107189187
GCF of denominators i.e. for 25,74,165 is 1.
Thus, LCM of Fractions is 107189187.Finally, LCM of Fractions for 487/25, 329/74, 669/165 is 107189187.