Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/152, 43/873, 173/601 quickly i.e. 89268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/152, 43/873, 173/601 is 89268.
LCM(12/152, 43/873, 173/601) = 89268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/152,43/873,173/601
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 12,43,173
Least Common Multiple of Numerators i.e. LCM of 12,43,173 is 89268.
GCF of Denominators means GCF of 152,873,601 as per the given fractions.
GCF of 152,873,601 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,43,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 89268
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 12,43,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,43,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,43,173) x common factors =1 x 1 = 1
LCM(12,43,173) = ( 12 × 43 × 173 ) / 1
LCM(12,43,173) = 89268 / 1
LCM(12,43,173) = 89268
Lets's calculate GCF of 152,873,601
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89268/1
Therefore the LCM of Fractions 12/152,43/873,173/601 is 89268
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Greatest Common Factor
We found the factors 152,873,601 . The biggest common factor number is the GCF number.
So the greatest common factor 152,873,601 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 12/152, 43/873, 173/601?
Answer: LCM of Numerators as per given numbers 12/152, 43/873, 173/601 is
LCM of Numerators i.e. for 12,43,173 is 89268
GCF of denominators i.e. for 152,873,601 is 1.
Thus, LCM of Fractions is 89268.Finally, LCM of Fractions for 12/152, 43/873, 173/601 is 89268.