Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 488/909, 2236/997 quickly i.e. 272792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 488/909, 2236/997 is 272792.
LCM(488/909, 2236/997) = 272792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 488/909,2236/997
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 488,2236
Least Common Multiple of Numerators i.e. LCM of 488,2236 is 272792.
GCF of Denominators means GCF of 909,997 as per the given fractions.
GCF of 909,997 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 488,2236
2 | 488, 2236 |
2 | 244, 1118 |
122, 559 |
∴ So the LCM of the given numbers is 2 x 2 x 122 x 559 = 272792
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 488,2236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,2236) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(488,2236) x common factors =4 x 1 = 4
LCM(488,2236) = ( 488 × 2236 ) / 4
LCM(488,2236) = 1091168 / 4
LCM(488,2236) = 272792
Lets's calculate GCF of 909,997
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272792/1
Therefore the LCM of Fractions 488/909,2236/997 is 272792
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Greatest Common Factor
We found the factors 909,997 . The biggest common factor number is the GCF number.
So the greatest common factor 909,997 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 488/909, 2236/997?
Answer: LCM of Numerators as per given numbers 488/909, 2236/997 is
LCM of Numerators i.e. for 488,2236 is 272792
GCF of denominators i.e. for 909,997 is 1.
Thus, LCM of Fractions is 272792.Finally, LCM of Fractions for 488/909, 2236/997 is 272792.