Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 989/124, 9771/992 quickly i.e. 9663519/124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 989/124, 9771/992 is 9663519/124.
LCM(989/124, 9771/992) = 9663519/124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 989/124,9771/992
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 989,9771
Least Common Multiple of Numerators i.e. LCM of 989,9771 is 9663519.
GCF of Denominators means GCF of 124,992 as per the given fractions.
GCF of 124,992 is 124 as it is the largest common factor for these numbers.
Lets's calculate LCM of 989,9771
Given numbers has no common factors except 1. So, there LCM is their product i.e 9663519
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 989,9771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,9771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,9771) x common factors =1 x 1 = 1
LCM(989,9771) = ( 989 × 9771 ) / 1
LCM(989,9771) = 9663519 / 1
LCM(989,9771) = 9663519
Lets's calculate GCF of 124,992
2 | 124, 992 |
2 | 62, 496 |
31 | 31, 248 |
1, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 31 = 124
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9663519/124
Therefore the LCM of Fractions 989/124,9771/992 is 9663519/124
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 124,992 . The biggest common factor number is the GCF number.
So the greatest common factor 124,992 is 124.
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 989/124, 9771/992?
Answer: LCM of Numerators as per given numbers 989/124, 9771/992 is
LCM of Numerators i.e. for 989,9771 is 9663519
GCF of denominators i.e. for 124,992 is 124.
Thus, LCM of Fractions is 9663519/124.Finally, LCM of Fractions for 989/124, 9771/992 is 9663519/124.