Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/553, 8457/8994 quickly i.e. 270624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/553, 8457/8994 is 270624.
LCM(32/553, 8457/8994) = 270624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/553,8457/8994
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 32,8457
Least Common Multiple of Numerators i.e. LCM of 32,8457 is 270624.
GCF of Denominators means GCF of 553,8994 as per the given fractions.
GCF of 553,8994 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,8457
Given numbers has no common factors except 1. So, there LCM is their product i.e 270624
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 32,8457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,8457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,8457) x common factors =1 x 1 = 1
LCM(32,8457) = ( 32 × 8457 ) / 1
LCM(32,8457) = 270624 / 1
LCM(32,8457) = 270624
Lets's calculate GCF of 553,8994
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270624/1
Therefore the LCM of Fractions 32/553,8457/8994 is 270624
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Factors of 8994
List of positive integer factors of 8994 that divides 8994 without a remainder.
1,2,3,6,1499,2998,4497,8994
Greatest Common Factor
We found the factors 553,8994 . The biggest common factor number is the GCF number.
So the greatest common factor 553,8994 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 32/553, 8457/8994?
Answer: LCM of Numerators as per given numbers 32/553, 8457/8994 is
LCM of Numerators i.e. for 32,8457 is 270624
GCF of denominators i.e. for 553,8994 is 1.
Thus, LCM of Fractions is 270624.Finally, LCM of Fractions for 32/553, 8457/8994 is 270624.