Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 202/13, 235/64, 551/622 quickly i.e. 26155970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 202/13, 235/64, 551/622 is 26155970.
LCM(202/13, 235/64, 551/622) = 26155970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 202/13,235/64,551/622
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 202,235,551
Least Common Multiple of Numerators i.e. LCM of 202,235,551 is 26155970.
GCF of Denominators means GCF of 13,64,622 as per the given fractions.
GCF of 13,64,622 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 202,235,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 26155970
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 202,235,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,235,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,235,551) x common factors =1 x 1 = 1
LCM(202,235,551) = ( 202 × 235 × 551 ) / 1
LCM(202,235,551) = 26155970 / 1
LCM(202,235,551) = 26155970
Lets's calculate GCF of 13,64,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26155970/1
Therefore the LCM of Fractions 202/13,235/64,551/622 is 26155970
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 13,64,622 . The biggest common factor number is the GCF number.
So the greatest common factor 13,64,622 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 202/13, 235/64, 551/622?
Answer: LCM of Numerators as per given numbers 202/13, 235/64, 551/622 is
LCM of Numerators i.e. for 202,235,551 is 26155970
GCF of denominators i.e. for 13,64,622 is 1.
Thus, LCM of Fractions is 26155970.Finally, LCM of Fractions for 202/13, 235/64, 551/622 is 26155970.