Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/998, 5757/5496 quickly i.e. 51813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/998, 5757/5496 is 51813.
LCM(54/998, 5757/5496) = 51813
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/998,5757/5496
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 54,5757
Least Common Multiple of Numerators i.e. LCM of 54,5757 is 103626.
GCF of Denominators means GCF of 998,5496 as per the given fractions.
GCF of 998,5496 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,5757
3 | 54, 5757 |
18, 1919 |
∴ So the LCM of the given numbers is 3 x 18 x 1919 = 103626
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 54,5757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,5757) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(54,5757) x common factors =3 x 1 = 3
LCM(54,5757) = ( 54 × 5757 ) / 3
LCM(54,5757) = 310878 / 3
LCM(54,5757) = 103626
Lets's calculate GCF of 998,5496
2 | 998, 5496 |
499, 2748 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103626/2
Therefore the LCM of Fractions 54/998,5757/5496 is 51813
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 5496
List of positive integer factors of 5496 that divides 5496 without a remainder.
1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496
Greatest Common Factor
We found the factors 998,5496 . The biggest common factor number is the GCF number.
So the greatest common factor 998,5496 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 54/998, 5757/5496?
Answer: LCM of Numerators as per given numbers 54/998, 5757/5496 is
LCM of Numerators i.e. for 54,5757 is 103626
GCF of denominators i.e. for 998,5496 is 2.
Thus, LCM of Fractions is 51813.Finally, LCM of Fractions for 54/998, 5757/5496 is 51813.