Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 365/854, 4369/5099 quickly i.e. 1594685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 365/854, 4369/5099 is 1594685.
LCM(365/854, 4369/5099) = 1594685
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 365/854,4369/5099
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 365,4369
Least Common Multiple of Numerators i.e. LCM of 365,4369 is 1594685.
GCF of Denominators means GCF of 854,5099 as per the given fractions.
GCF of 854,5099 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 365,4369
Given numbers has no common factors except 1. So, there LCM is their product i.e 1594685
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 365,4369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,4369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,4369) x common factors =1 x 1 = 1
LCM(365,4369) = ( 365 × 4369 ) / 1
LCM(365,4369) = 1594685 / 1
LCM(365,4369) = 1594685
Lets's calculate GCF of 854,5099
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1594685/1
Therefore the LCM of Fractions 365/854,4369/5099 is 1594685
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 5099
List of positive integer factors of 5099 that divides 5099 without a remainder.
1,5099
Greatest Common Factor
We found the factors 854,5099 . The biggest common factor number is the GCF number.
So the greatest common factor 854,5099 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 365/854, 4369/5099?
Answer: LCM of Numerators as per given numbers 365/854, 4369/5099 is
LCM of Numerators i.e. for 365,4369 is 1594685
GCF of denominators i.e. for 854,5099 is 1.
Thus, LCM of Fractions is 1594685.Finally, LCM of Fractions for 365/854, 4369/5099 is 1594685.