Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 572/81, 166/2251 quickly i.e. 47476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 572/81, 166/2251 is 47476.
LCM(572/81, 166/2251) = 47476
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 572/81,166/2251
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 572,166
Least Common Multiple of Numerators i.e. LCM of 572,166 is 47476.
GCF of Denominators means GCF of 81,2251 as per the given fractions.
GCF of 81,2251 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 572,166
2 | 572, 166 |
286, 83 |
∴ So the LCM of the given numbers is 2 x 286 x 83 = 47476
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 572,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,166) x common factors =2 x 1 = 2
LCM(572,166) = ( 572 × 166 ) / 2
LCM(572,166) = 94952 / 2
LCM(572,166) = 47476
Lets's calculate GCF of 81,2251
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47476/1
Therefore the LCM of Fractions 572/81,166/2251 is 47476
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 2251
List of positive integer factors of 2251 that divides 2251 without a remainder.
1,2251
Greatest Common Factor
We found the factors 81,2251 . The biggest common factor number is the GCF number.
So the greatest common factor 81,2251 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 572/81, 166/2251?
Answer: LCM of Numerators as per given numbers 572/81, 166/2251 is
LCM of Numerators i.e. for 572,166 is 47476
GCF of denominators i.e. for 81,2251 is 1.
Thus, LCM of Fractions is 47476.Finally, LCM of Fractions for 572/81, 166/2251 is 47476.