Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4837/366, 8494/767 quickly i.e. 41085478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4837/366, 8494/767 is 41085478.
LCM(4837/366, 8494/767) = 41085478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4837/366,8494/767
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 4837,8494
Least Common Multiple of Numerators i.e. LCM of 4837,8494 is 41085478.
GCF of Denominators means GCF of 366,767 as per the given fractions.
GCF of 366,767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4837,8494
Given numbers has no common factors except 1. So, there LCM is their product i.e 41085478
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 4837,8494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4837,8494) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4837,8494) x common factors =1 x 1 = 1
LCM(4837,8494) = ( 4837 × 8494 ) / 1
LCM(4837,8494) = 41085478 / 1
LCM(4837,8494) = 41085478
Lets's calculate GCF of 366,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41085478/1
Therefore the LCM of Fractions 4837/366,8494/767 is 41085478
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 366,767 . The biggest common factor number is the GCF number.
So the greatest common factor 366,767 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 4837/366, 8494/767?
Answer: LCM of Numerators as per given numbers 4837/366, 8494/767 is
LCM of Numerators i.e. for 4837,8494 is 41085478
GCF of denominators i.e. for 366,767 is 1.
Thus, LCM of Fractions is 41085478.Finally, LCM of Fractions for 4837/366, 8494/767 is 41085478.