Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 553/295, 8245/1243 quickly i.e. 4559485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 553/295, 8245/1243 is 4559485.
LCM(553/295, 8245/1243) = 4559485
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 553/295,8245/1243
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 553,8245
Least Common Multiple of Numerators i.e. LCM of 553,8245 is 4559485.
GCF of Denominators means GCF of 295,1243 as per the given fractions.
GCF of 295,1243 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 553,8245
Given numbers has no common factors except 1. So, there LCM is their product i.e 4559485
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 553,8245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,8245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,8245) x common factors =1 x 1 = 1
LCM(553,8245) = ( 553 × 8245 ) / 1
LCM(553,8245) = 4559485 / 1
LCM(553,8245) = 4559485
Lets's calculate GCF of 295,1243
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4559485/1
Therefore the LCM of Fractions 553/295,8245/1243 is 4559485
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Factors of 1243
List of positive integer factors of 1243 that divides 1243 without a remainder.
1,11,113,1243
Greatest Common Factor
We found the factors 295,1243 . The biggest common factor number is the GCF number.
So the greatest common factor 295,1243 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 553/295, 8245/1243?
Answer: LCM of Numerators as per given numbers 553/295, 8245/1243 is
LCM of Numerators i.e. for 553,8245 is 4559485
GCF of denominators i.e. for 295,1243 is 1.
Thus, LCM of Fractions is 4559485.Finally, LCM of Fractions for 553/295, 8245/1243 is 4559485.