Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6553/577, 5043/1706 quickly i.e. 33046779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6553/577, 5043/1706 is 33046779.
LCM(6553/577, 5043/1706) = 33046779
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6553/577,5043/1706
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 6553,5043
Least Common Multiple of Numerators i.e. LCM of 6553,5043 is 33046779.
GCF of Denominators means GCF of 577,1706 as per the given fractions.
GCF of 577,1706 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6553,5043
Given numbers has no common factors except 1. So, there LCM is their product i.e 33046779
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 6553,5043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6553,5043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6553,5043) x common factors =1 x 1 = 1
LCM(6553,5043) = ( 6553 × 5043 ) / 1
LCM(6553,5043) = 33046779 / 1
LCM(6553,5043) = 33046779
Lets's calculate GCF of 577,1706
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33046779/1
Therefore the LCM of Fractions 6553/577,5043/1706 is 33046779
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 1706
List of positive integer factors of 1706 that divides 1706 without a remainder.
1,2,853,1706
Greatest Common Factor
We found the factors 577,1706 . The biggest common factor number is the GCF number.
So the greatest common factor 577,1706 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 6553/577, 5043/1706?
Answer: LCM of Numerators as per given numbers 6553/577, 5043/1706 is
LCM of Numerators i.e. for 6553,5043 is 33046779
GCF of denominators i.e. for 577,1706 is 1.
Thus, LCM of Fractions is 33046779.Finally, LCM of Fractions for 6553/577, 5043/1706 is 33046779.