Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5534/537, 6680/9433 quickly i.e. 18483560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5534/537, 6680/9433 is 18483560.
LCM(5534/537, 6680/9433) = 18483560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5534/537,6680/9433
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 5534,6680
Least Common Multiple of Numerators i.e. LCM of 5534,6680 is 18483560.
GCF of Denominators means GCF of 537,9433 as per the given fractions.
GCF of 537,9433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5534,6680
2 | 5534, 6680 |
2767, 3340 |
∴ So the LCM of the given numbers is 2 x 2767 x 3340 = 18483560
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 5534,6680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5534,6680) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5534,6680) x common factors =2 x 1 = 2
LCM(5534,6680) = ( 5534 × 6680 ) / 2
LCM(5534,6680) = 36967120 / 2
LCM(5534,6680) = 18483560
Lets's calculate GCF of 537,9433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18483560/1
Therefore the LCM of Fractions 5534/537,6680/9433 is 18483560
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 9433
List of positive integer factors of 9433 that divides 9433 without a remainder.
1,9433
Greatest Common Factor
We found the factors 537,9433 . The biggest common factor number is the GCF number.
So the greatest common factor 537,9433 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 5534/537, 6680/9433?
Answer: LCM of Numerators as per given numbers 5534/537, 6680/9433 is
LCM of Numerators i.e. for 5534,6680 is 18483560
GCF of denominators i.e. for 537,9433 is 1.
Thus, LCM of Fractions is 18483560.Finally, LCM of Fractions for 5534/537, 6680/9433 is 18483560.