Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 175/53, 617/12, 187/406 quickly i.e. 20191325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 175/53, 617/12, 187/406 is 20191325.
LCM(175/53, 617/12, 187/406) = 20191325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 175/53,617/12,187/406
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 175,617,187
Least Common Multiple of Numerators i.e. LCM of 175,617,187 is 20191325.
GCF of Denominators means GCF of 53,12,406 as per the given fractions.
GCF of 53,12,406 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 175,617,187
Given numbers has no common factors except 1. So, there LCM is their product i.e 20191325
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 175,617,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,617,187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,617,187) x common factors =1 x 1 = 1
LCM(175,617,187) = ( 175 × 617 × 187 ) / 1
LCM(175,617,187) = 20191325 / 1
LCM(175,617,187) = 20191325
Lets's calculate GCF of 53,12,406
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20191325/1
Therefore the LCM of Fractions 175/53,617/12,187/406 is 20191325
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 53,12,406 . The biggest common factor number is the GCF number.
So the greatest common factor 53,12,406 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 175/53, 617/12, 187/406?
Answer: LCM of Numerators as per given numbers 175/53, 617/12, 187/406 is
LCM of Numerators i.e. for 175,617,187 is 20191325
GCF of denominators i.e. for 53,12,406 is 1.
Thus, LCM of Fractions is 20191325.Finally, LCM of Fractions for 175/53, 617/12, 187/406 is 20191325.