Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 221/49, 9873/272 quickly i.e. 2181933 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 221/49, 9873/272 is 2181933.
LCM(221/49, 9873/272) = 2181933
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 221/49,9873/272
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 221,9873
Least Common Multiple of Numerators i.e. LCM of 221,9873 is 2181933.
GCF of Denominators means GCF of 49,272 as per the given fractions.
GCF of 49,272 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 221,9873
Given numbers has no common factors except 1. So, there LCM is their product i.e 2181933
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 221,9873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,9873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,9873) x common factors =1 x 1 = 1
LCM(221,9873) = ( 221 × 9873 ) / 1
LCM(221,9873) = 2181933 / 1
LCM(221,9873) = 2181933
Lets's calculate GCF of 49,272
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2181933/1
Therefore the LCM of Fractions 221/49,9873/272 is 2181933
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 49,272 . The biggest common factor number is the GCF number.
So the greatest common factor 49,272 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 221/49, 9873/272?
Answer: LCM of Numerators as per given numbers 221/49, 9873/272 is
LCM of Numerators i.e. for 221,9873 is 2181933
GCF of denominators i.e. for 49,272 is 1.
Thus, LCM of Fractions is 2181933.Finally, LCM of Fractions for 221/49, 9873/272 is 2181933.