Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 623/99, 684/9849 quickly i.e. 142044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 623/99, 684/9849 is 142044.
LCM(623/99, 684/9849) = 142044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 623/99,684/9849
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 623,684
Least Common Multiple of Numerators i.e. LCM of 623,684 is 426132.
GCF of Denominators means GCF of 99,9849 as per the given fractions.
GCF of 99,9849 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 623,684
Given numbers has no common factors except 1. So, there LCM is their product i.e 426132
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 623,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,684) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,684) x common factors =1 x 1 = 1
LCM(623,684) = ( 623 × 684 ) / 1
LCM(623,684) = 426132 / 1
LCM(623,684) = 426132
Lets's calculate GCF of 99,9849
3 | 99, 9849 |
33, 3283 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426132/3
Therefore the LCM of Fractions 623/99,684/9849 is 142044
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 9849
List of positive integer factors of 9849 that divides 9849 without a remainder.
1,3,7,21,49,67,147,201,469,1407,3283,9849
Greatest Common Factor
We found the factors 99,9849 . The biggest common factor number is the GCF number.
So the greatest common factor 99,9849 is 3.
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 623/99, 684/9849?
Answer: LCM of Numerators as per given numbers 623/99, 684/9849 is
LCM of Numerators i.e. for 623,684 is 426132
GCF of denominators i.e. for 99,9849 is 3.
Thus, LCM of Fractions is 142044.Finally, LCM of Fractions for 623/99, 684/9849 is 142044.