Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 200/123, 5542/6649 quickly i.e. 554200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 200/123, 5542/6649 is 554200.
LCM(200/123, 5542/6649) = 554200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 200/123,5542/6649
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 200,5542
Least Common Multiple of Numerators i.e. LCM of 200,5542 is 554200.
GCF of Denominators means GCF of 123,6649 as per the given fractions.
GCF of 123,6649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 200,5542
2 | 200, 5542 |
100, 2771 |
∴ So the LCM of the given numbers is 2 x 100 x 2771 = 554200
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 200,5542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,5542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(200,5542) x common factors =2 x 1 = 2
LCM(200,5542) = ( 200 × 5542 ) / 2
LCM(200,5542) = 1108400 / 2
LCM(200,5542) = 554200
Lets's calculate GCF of 123,6649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 554200/1
Therefore the LCM of Fractions 200/123,5542/6649 is 554200
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 6649
List of positive integer factors of 6649 that divides 6649 without a remainder.
1,61,109,6649
Greatest Common Factor
We found the factors 123,6649 . The biggest common factor number is the GCF number.
So the greatest common factor 123,6649 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 200/123, 5542/6649?
Answer: LCM of Numerators as per given numbers 200/123, 5542/6649 is
LCM of Numerators i.e. for 200,5542 is 554200
GCF of denominators i.e. for 123,6649 is 1.
Thus, LCM of Fractions is 554200.Finally, LCM of Fractions for 200/123, 5542/6649 is 554200.