Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 202/41, 365/93, 291/451 quickly i.e. 21455430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 202/41, 365/93, 291/451 is 21455430.
LCM(202/41, 365/93, 291/451) = 21455430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 202/41,365/93,291/451
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 202,365,291
Least Common Multiple of Numerators i.e. LCM of 202,365,291 is 21455430.
GCF of Denominators means GCF of 41,93,451 as per the given fractions.
GCF of 41,93,451 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 202,365,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 21455430
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 202,365,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,365,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,365,291) x common factors =1 x 1 = 1
LCM(202,365,291) = ( 202 × 365 × 291 ) / 1
LCM(202,365,291) = 21455430 / 1
LCM(202,365,291) = 21455430
Lets's calculate GCF of 41,93,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21455430/1
Therefore the LCM of Fractions 202/41,365/93,291/451 is 21455430
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 41,93,451 . The biggest common factor number is the GCF number.
So the greatest common factor 41,93,451 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 202/41, 365/93, 291/451?
Answer: LCM of Numerators as per given numbers 202/41, 365/93, 291/451 is
LCM of Numerators i.e. for 202,365,291 is 21455430
GCF of denominators i.e. for 41,93,451 is 1.
Thus, LCM of Fractions is 21455430.Finally, LCM of Fractions for 202/41, 365/93, 291/451 is 21455430.