Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2321/194, 5148/5563 quickly i.e. 1086228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2321/194, 5148/5563 is 1086228.
LCM(2321/194, 5148/5563) = 1086228
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2321/194,5148/5563
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 2321,5148
Least Common Multiple of Numerators i.e. LCM of 2321,5148 is 1086228.
GCF of Denominators means GCF of 194,5563 as per the given fractions.
GCF of 194,5563 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2321,5148
11 | 2321, 5148 |
211, 468 |
∴ So the LCM of the given numbers is 11 x 211 x 468 = 1086228
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 2321,5148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2321,5148) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(2321,5148) x common factors =11 x 1 = 11
LCM(2321,5148) = ( 2321 × 5148 ) / 11
LCM(2321,5148) = 11948508 / 11
LCM(2321,5148) = 1086228
Lets's calculate GCF of 194,5563
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1086228/1
Therefore the LCM of Fractions 2321/194,5148/5563 is 1086228
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 5563
List of positive integer factors of 5563 that divides 5563 without a remainder.
1,5563
Greatest Common Factor
We found the factors 194,5563 . The biggest common factor number is the GCF number.
So the greatest common factor 194,5563 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 2321/194, 5148/5563?
Answer: LCM of Numerators as per given numbers 2321/194, 5148/5563 is
LCM of Numerators i.e. for 2321,5148 is 1086228
GCF of denominators i.e. for 194,5563 is 1.
Thus, LCM of Fractions is 1086228.Finally, LCM of Fractions for 2321/194, 5148/5563 is 1086228.