Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/365, 49/963, 109/838 quickly i.e. 496713 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/365, 49/963, 109/838 is 496713.
LCM(93/365, 49/963, 109/838) = 496713
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/365,49/963,109/838
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 93,49,109
Least Common Multiple of Numerators i.e. LCM of 93,49,109 is 496713.
GCF of Denominators means GCF of 365,963,838 as per the given fractions.
GCF of 365,963,838 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,49,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 496713
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 93,49,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,49,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,49,109) x common factors =1 x 1 = 1
LCM(93,49,109) = ( 93 × 49 × 109 ) / 1
LCM(93,49,109) = 496713 / 1
LCM(93,49,109) = 496713
Lets's calculate GCF of 365,963,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496713/1
Therefore the LCM of Fractions 93/365,49/963,109/838 is 496713
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 365,963,838 . The biggest common factor number is the GCF number.
So the greatest common factor 365,963,838 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 93/365, 49/963, 109/838?
Answer: LCM of Numerators as per given numbers 93/365, 49/963, 109/838 is
LCM of Numerators i.e. for 93,49,109 is 496713
GCF of denominators i.e. for 365,963,838 is 1.
Thus, LCM of Fractions is 496713.Finally, LCM of Fractions for 93/365, 49/963, 109/838 is 496713.