Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 371/398, 1226/4175 quickly i.e. 454846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 371/398, 1226/4175 is 454846.
LCM(371/398, 1226/4175) = 454846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 371/398,1226/4175
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 371,1226
Least Common Multiple of Numerators i.e. LCM of 371,1226 is 454846.
GCF of Denominators means GCF of 398,4175 as per the given fractions.
GCF of 398,4175 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 371,1226
Given numbers has no common factors except 1. So, there LCM is their product i.e 454846
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 371,1226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,1226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,1226) x common factors =1 x 1 = 1
LCM(371,1226) = ( 371 × 1226 ) / 1
LCM(371,1226) = 454846 / 1
LCM(371,1226) = 454846
Lets's calculate GCF of 398,4175
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 454846/1
Therefore the LCM of Fractions 371/398,1226/4175 is 454846
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 4175
List of positive integer factors of 4175 that divides 4175 without a remainder.
1,5,25,167,835,4175
Greatest Common Factor
We found the factors 398,4175 . The biggest common factor number is the GCF number.
So the greatest common factor 398,4175 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 371/398, 1226/4175?
Answer: LCM of Numerators as per given numbers 371/398, 1226/4175 is
LCM of Numerators i.e. for 371,1226 is 454846
GCF of denominators i.e. for 398,4175 is 1.
Thus, LCM of Fractions is 454846.Finally, LCM of Fractions for 371/398, 1226/4175 is 454846.