Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5533/833, 5645/485 quickly i.e. 31233785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5533/833, 5645/485 is 31233785.
LCM(5533/833, 5645/485) = 31233785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5533/833,5645/485
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 5533,5645
Least Common Multiple of Numerators i.e. LCM of 5533,5645 is 31233785.
GCF of Denominators means GCF of 833,485 as per the given fractions.
GCF of 833,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5533,5645
Given numbers has no common factors except 1. So, there LCM is their product i.e 31233785
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 5533,5645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5533,5645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5533,5645) x common factors =1 x 1 = 1
LCM(5533,5645) = ( 5533 × 5645 ) / 1
LCM(5533,5645) = 31233785 / 1
LCM(5533,5645) = 31233785
Lets's calculate GCF of 833,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31233785/1
Therefore the LCM of Fractions 5533/833,5645/485 is 31233785
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 833,485 . The biggest common factor number is the GCF number.
So the greatest common factor 833,485 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 5533/833, 5645/485?
Answer: LCM of Numerators as per given numbers 5533/833, 5645/485 is
LCM of Numerators i.e. for 5533,5645 is 31233785
GCF of denominators i.e. for 833,485 is 1.
Thus, LCM of Fractions is 31233785.Finally, LCM of Fractions for 5533/833, 5645/485 is 31233785.