Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 361/98, 365/38, 939/401 quickly i.e. 123727335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 361/98, 365/38, 939/401 is 123727335.
LCM(361/98, 365/38, 939/401) = 123727335
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 361/98,365/38,939/401
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 361,365,939
Least Common Multiple of Numerators i.e. LCM of 361,365,939 is 123727335.
GCF of Denominators means GCF of 98,38,401 as per the given fractions.
GCF of 98,38,401 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 361,365,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 123727335
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 361,365,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,365,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,365,939) x common factors =1 x 1 = 1
LCM(361,365,939) = ( 361 × 365 × 939 ) / 1
LCM(361,365,939) = 123727335 / 1
LCM(361,365,939) = 123727335
Lets's calculate GCF of 98,38,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123727335/1
Therefore the LCM of Fractions 361/98,365/38,939/401 is 123727335
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Greatest Common Factor
We found the factors 98,38,401 . The biggest common factor number is the GCF number.
So the greatest common factor 98,38,401 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 361/98, 365/38, 939/401?
Answer: LCM of Numerators as per given numbers 361/98, 365/38, 939/401 is
LCM of Numerators i.e. for 361,365,939 is 123727335
GCF of denominators i.e. for 98,38,401 is 1.
Thus, LCM of Fractions is 123727335.Finally, LCM of Fractions for 361/98, 365/38, 939/401 is 123727335.