Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/87, 324/8274 quickly i.e. 18900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/87, 324/8274 is 18900.
LCM(525/87, 324/8274) = 18900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/87,324/8274
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 525,324
Least Common Multiple of Numerators i.e. LCM of 525,324 is 56700.
GCF of Denominators means GCF of 87,8274 as per the given fractions.
GCF of 87,8274 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,324
3 | 525, 324 |
175, 108 |
∴ So the LCM of the given numbers is 3 x 175 x 108 = 56700
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 525,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,324) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(525,324) x common factors =3 x 1 = 3
LCM(525,324) = ( 525 × 324 ) / 3
LCM(525,324) = 170100 / 3
LCM(525,324) = 56700
Lets's calculate GCF of 87,8274
3 | 87, 8274 |
29, 2758 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56700/3
Therefore the LCM of Fractions 525/87,324/8274 is 18900
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 8274
List of positive integer factors of 8274 that divides 8274 without a remainder.
1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274
Greatest Common Factor
We found the factors 87,8274 . The biggest common factor number is the GCF number.
So the greatest common factor 87,8274 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 525/87, 324/8274?
Answer: LCM of Numerators as per given numbers 525/87, 324/8274 is
LCM of Numerators i.e. for 525,324 is 56700
GCF of denominators i.e. for 87,8274 is 3.
Thus, LCM of Fractions is 18900.Finally, LCM of Fractions for 525/87, 324/8274 is 18900.