Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/305, 87/185 quickly i.e. 4524/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/305, 87/185 is 4524/5.
LCM(52/305, 87/185) = 4524/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/305,87/185
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 52,87
Least Common Multiple of Numerators i.e. LCM of 52,87 is 4524.
GCF of Denominators means GCF of 305,185 as per the given fractions.
GCF of 305,185 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,87
Given numbers has no common factors except 1. So, there LCM is their product i.e 4524
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 52,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,87) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,87) x common factors =1 x 1 = 1
LCM(52,87) = ( 52 × 87 ) / 1
LCM(52,87) = 4524 / 1
LCM(52,87) = 4524
Lets's calculate GCF of 305,185
5 | 305, 185 |
61, 37 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4524/5
Therefore the LCM of Fractions 52/305,87/185 is 4524/5
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Greatest Common Factor
We found the factors 305,185 . The biggest common factor number is the GCF number.
So the greatest common factor 305,185 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 52/305, 87/185?
Answer: LCM of Numerators as per given numbers 52/305, 87/185 is
LCM of Numerators i.e. for 52,87 is 4524
GCF of denominators i.e. for 305,185 is 5.
Thus, LCM of Fractions is 4524/5.Finally, LCM of Fractions for 52/305, 87/185 is 4524/5.