Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 815/223, 751/673, 201/356 quickly i.e. 123025065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 815/223, 751/673, 201/356 is 123025065.
LCM(815/223, 751/673, 201/356) = 123025065
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 815/223,751/673,201/356
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 815,751,201
Least Common Multiple of Numerators i.e. LCM of 815,751,201 is 123025065.
GCF of Denominators means GCF of 223,673,356 as per the given fractions.
GCF of 223,673,356 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 815,751,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 123025065
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 815,751,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,751,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(815,751,201) x common factors =1 x 1 = 1
LCM(815,751,201) = ( 815 × 751 × 201 ) / 1
LCM(815,751,201) = 123025065 / 1
LCM(815,751,201) = 123025065
Lets's calculate GCF of 223,673,356
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123025065/1
Therefore the LCM of Fractions 815/223,751/673,201/356 is 123025065
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Greatest Common Factor
We found the factors 223,673,356 . The biggest common factor number is the GCF number.
So the greatest common factor 223,673,356 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 815/223, 751/673, 201/356?
Answer: LCM of Numerators as per given numbers 815/223, 751/673, 201/356 is
LCM of Numerators i.e. for 815,751,201 is 123025065
GCF of denominators i.e. for 223,673,356 is 1.
Thus, LCM of Fractions is 123025065.Finally, LCM of Fractions for 815/223, 751/673, 201/356 is 123025065.