Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5230/732, 5447/998 quickly i.e. 14243905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5230/732, 5447/998 is 14243905.
LCM(5230/732, 5447/998) = 14243905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5230/732,5447/998
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 5230,5447
Least Common Multiple of Numerators i.e. LCM of 5230,5447 is 28487810.
GCF of Denominators means GCF of 732,998 as per the given fractions.
GCF of 732,998 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5230,5447
Given numbers has no common factors except 1. So, there LCM is their product i.e 28487810
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 5230,5447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5230,5447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5230,5447) x common factors =1 x 1 = 1
LCM(5230,5447) = ( 5230 × 5447 ) / 1
LCM(5230,5447) = 28487810 / 1
LCM(5230,5447) = 28487810
Lets's calculate GCF of 732,998
2 | 732, 998 |
366, 499 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28487810/2
Therefore the LCM of Fractions 5230/732,5447/998 is 14243905
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 732,998 . The biggest common factor number is the GCF number.
So the greatest common factor 732,998 is 2.
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 5230/732, 5447/998?
Answer: LCM of Numerators as per given numbers 5230/732, 5447/998 is
LCM of Numerators i.e. for 5230,5447 is 28487810
GCF of denominators i.e. for 732,998 is 2.
Thus, LCM of Fractions is 14243905.Finally, LCM of Fractions for 5230/732, 5447/998 is 14243905.