Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 300/57, 197/73, 885/881 quickly i.e. 3486900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 300/57, 197/73, 885/881 is 3486900.
LCM(300/57, 197/73, 885/881) = 3486900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 300/57,197/73,885/881
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 300,197,885
Least Common Multiple of Numerators i.e. LCM of 300,197,885 is 3486900.
GCF of Denominators means GCF of 57,73,881 as per the given fractions.
GCF of 57,73,881 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 300,197,885
3 | 300, 197, 885 |
5 | 100, 197, 295 |
20, 197, 59 |
∴ So the LCM of the given numbers is 3 x 5 x 20 x 197 x 59 = 3486900
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 300,197,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,197,885) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(300,197,885) x common factors =1 x 15 = 15
LCM(300,197,885) = ( 300 × 197 × 885 ) / 15
LCM(300,197,885) = 52303500 / 15
LCM(300,197,885) = 3486900
Lets's calculate GCF of 57,73,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3486900/1
Therefore the LCM of Fractions 300/57,197/73,885/881 is 3486900
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Greatest Common Factor
We found the factors 57,73,881 . The biggest common factor number is the GCF number.
So the greatest common factor 57,73,881 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 300/57, 197/73, 885/881?
Answer: LCM of Numerators as per given numbers 300/57, 197/73, 885/881 is
LCM of Numerators i.e. for 300,197,885 is 3486900
GCF of denominators i.e. for 57,73,881 is 1.
Thus, LCM of Fractions is 3486900.Finally, LCM of Fractions for 300/57, 197/73, 885/881 is 3486900.