Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8731/537, 7535/171 quickly i.e. 65788085/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8731/537, 7535/171 is 65788085/3.
LCM(8731/537, 7535/171) = 65788085/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8731/537,7535/171
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 8731,7535
Least Common Multiple of Numerators i.e. LCM of 8731,7535 is 65788085.
GCF of Denominators means GCF of 537,171 as per the given fractions.
GCF of 537,171 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8731,7535
Given numbers has no common factors except 1. So, there LCM is their product i.e 65788085
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 8731,7535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8731,7535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8731,7535) x common factors =1 x 1 = 1
LCM(8731,7535) = ( 8731 × 7535 ) / 1
LCM(8731,7535) = 65788085 / 1
LCM(8731,7535) = 65788085
Lets's calculate GCF of 537,171
3 | 537, 171 |
179, 57 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65788085/3
Therefore the LCM of Fractions 8731/537,7535/171 is 65788085/3
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Greatest Common Factor
We found the factors 537,171 . The biggest common factor number is the GCF number.
So the greatest common factor 537,171 is 3.
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 8731/537, 7535/171?
Answer: LCM of Numerators as per given numbers 8731/537, 7535/171 is
LCM of Numerators i.e. for 8731,7535 is 65788085
GCF of denominators i.e. for 537,171 is 3.
Thus, LCM of Fractions is 65788085/3.Finally, LCM of Fractions for 8731/537, 7535/171 is 65788085/3.