Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1525/535, 9167/4316 quickly i.e. 13979675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1525/535, 9167/4316 is 13979675.
LCM(1525/535, 9167/4316) = 13979675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1525/535,9167/4316
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 1525,9167
Least Common Multiple of Numerators i.e. LCM of 1525,9167 is 13979675.
GCF of Denominators means GCF of 535,4316 as per the given fractions.
GCF of 535,4316 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1525,9167
Given numbers has no common factors except 1. So, there LCM is their product i.e 13979675
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 1525,9167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1525,9167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1525,9167) x common factors =1 x 1 = 1
LCM(1525,9167) = ( 1525 × 9167 ) / 1
LCM(1525,9167) = 13979675 / 1
LCM(1525,9167) = 13979675
Lets's calculate GCF of 535,4316
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13979675/1
Therefore the LCM of Fractions 1525/535,9167/4316 is 13979675
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 4316
List of positive integer factors of 4316 that divides 4316 without a remainder.
1,2,4,13,26,52,83,166,332,1079,2158,4316
Greatest Common Factor
We found the factors 535,4316 . The biggest common factor number is the GCF number.
So the greatest common factor 535,4316 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 1525/535, 9167/4316?
Answer: LCM of Numerators as per given numbers 1525/535, 9167/4316 is
LCM of Numerators i.e. for 1525,9167 is 13979675
GCF of denominators i.e. for 535,4316 is 1.
Thus, LCM of Fractions is 13979675.Finally, LCM of Fractions for 1525/535, 9167/4316 is 13979675.