Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/265, 4075/5325 quickly i.e. 129585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 159/265, 4075/5325 is 129585.
LCM(159/265, 4075/5325) = 129585
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/265,4075/5325
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 159,4075
Least Common Multiple of Numerators i.e. LCM of 159,4075 is 647925.
GCF of Denominators means GCF of 265,5325 as per the given fractions.
GCF of 265,5325 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,4075
Given numbers has no common factors except 1. So, there LCM is their product i.e 647925
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 159,4075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,4075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,4075) x common factors =1 x 1 = 1
LCM(159,4075) = ( 159 × 4075 ) / 1
LCM(159,4075) = 647925 / 1
LCM(159,4075) = 647925
Lets's calculate GCF of 265,5325
5 | 265, 5325 |
53, 1065 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 647925/5
Therefore the LCM of Fractions 159/265,4075/5325 is 129585
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 5325
List of positive integer factors of 5325 that divides 5325 without a remainder.
1,3,5,15,25,71,75,213,355,1065,1775,5325
Greatest Common Factor
We found the factors 265,5325 . The biggest common factor number is the GCF number.
So the greatest common factor 265,5325 is 5.
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 159/265, 4075/5325?
Answer: LCM of Numerators as per given numbers 159/265, 4075/5325 is
LCM of Numerators i.e. for 159,4075 is 647925
GCF of denominators i.e. for 265,5325 is 5.
Thus, LCM of Fractions is 129585.Finally, LCM of Fractions for 159/265, 4075/5325 is 129585.