Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 623/62, 198/9952 quickly i.e. 61677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 623/62, 198/9952 is 61677.
LCM(623/62, 198/9952) = 61677
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 623/62,198/9952
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 623,198
Least Common Multiple of Numerators i.e. LCM of 623,198 is 123354.
GCF of Denominators means GCF of 62,9952 as per the given fractions.
GCF of 62,9952 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 623,198
Given numbers has no common factors except 1. So, there LCM is their product i.e 123354
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 623,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,198) x common factors =1 x 1 = 1
LCM(623,198) = ( 623 × 198 ) / 1
LCM(623,198) = 123354 / 1
LCM(623,198) = 123354
Lets's calculate GCF of 62,9952
2 | 62, 9952 |
31, 4976 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123354/2
Therefore the LCM of Fractions 623/62,198/9952 is 61677
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 9952
List of positive integer factors of 9952 that divides 9952 without a remainder.
1,2,4,8,16,32,311,622,1244,2488,4976,9952
Greatest Common Factor
We found the factors 62,9952 . The biggest common factor number is the GCF number.
So the greatest common factor 62,9952 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 623/62, 198/9952?
Answer: LCM of Numerators as per given numbers 623/62, 198/9952 is
LCM of Numerators i.e. for 623,198 is 123354
GCF of denominators i.e. for 62,9952 is 2.
Thus, LCM of Fractions is 61677.Finally, LCM of Fractions for 623/62, 198/9952 is 61677.