Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/275, 59/422 quickly i.e. 4012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/275, 59/422 is 4012.
LCM(68/275, 59/422) = 4012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/275,59/422
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 68,59
Least Common Multiple of Numerators i.e. LCM of 68,59 is 4012.
GCF of Denominators means GCF of 275,422 as per the given fractions.
GCF of 275,422 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,59
Given numbers has no common factors except 1. So, there LCM is their product i.e 4012
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 68,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,59) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,59) x common factors =1 x 1 = 1
LCM(68,59) = ( 68 × 59 ) / 1
LCM(68,59) = 4012 / 1
LCM(68,59) = 4012
Lets's calculate GCF of 275,422
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4012/1
Therefore the LCM of Fractions 68/275,59/422 is 4012
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Greatest Common Factor
We found the factors 275,422 . The biggest common factor number is the GCF number.
So the greatest common factor 275,422 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 68/275, 59/422?
Answer: LCM of Numerators as per given numbers 68/275, 59/422 is
LCM of Numerators i.e. for 68,59 is 4012
GCF of denominators i.e. for 275,422 is 1.
Thus, LCM of Fractions is 4012.Finally, LCM of Fractions for 68/275, 59/422 is 4012.