Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/104, 23/177, 324/201 quickly i.e. 529092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/104, 23/177, 324/201 is 529092.
LCM(71/104, 23/177, 324/201) = 529092
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/104,23/177,324/201
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 71,23,324
Least Common Multiple of Numerators i.e. LCM of 71,23,324 is 529092.
GCF of Denominators means GCF of 104,177,201 as per the given fractions.
GCF of 104,177,201 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,23,324
Given numbers has no common factors except 1. So, there LCM is their product i.e 529092
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 71,23,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,23,324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,23,324) x common factors =1 x 1 = 1
LCM(71,23,324) = ( 71 × 23 × 324 ) / 1
LCM(71,23,324) = 529092 / 1
LCM(71,23,324) = 529092
Lets's calculate GCF of 104,177,201
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 529092/1
Therefore the LCM of Fractions 71/104,23/177,324/201 is 529092
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Greatest Common Factor
We found the factors 104,177,201 . The biggest common factor number is the GCF number.
So the greatest common factor 104,177,201 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 71/104, 23/177, 324/201?
Answer: LCM of Numerators as per given numbers 71/104, 23/177, 324/201 is
LCM of Numerators i.e. for 71,23,324 is 529092
GCF of denominators i.e. for 104,177,201 is 1.
Thus, LCM of Fractions is 529092.Finally, LCM of Fractions for 71/104, 23/177, 324/201 is 529092.