Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6546/783, 5485/2423 quickly i.e. 35904810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6546/783, 5485/2423 is 35904810.
LCM(6546/783, 5485/2423) = 35904810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6546/783,5485/2423
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 6546,5485
Least Common Multiple of Numerators i.e. LCM of 6546,5485 is 35904810.
GCF of Denominators means GCF of 783,2423 as per the given fractions.
GCF of 783,2423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6546,5485
Given numbers has no common factors except 1. So, there LCM is their product i.e 35904810
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 6546,5485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6546,5485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6546,5485) x common factors =1 x 1 = 1
LCM(6546,5485) = ( 6546 × 5485 ) / 1
LCM(6546,5485) = 35904810 / 1
LCM(6546,5485) = 35904810
Lets's calculate GCF of 783,2423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35904810/1
Therefore the LCM of Fractions 6546/783,5485/2423 is 35904810
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 2423
List of positive integer factors of 2423 that divides 2423 without a remainder.
1,2423
Greatest Common Factor
We found the factors 783,2423 . The biggest common factor number is the GCF number.
So the greatest common factor 783,2423 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 6546/783, 5485/2423?
Answer: LCM of Numerators as per given numbers 6546/783, 5485/2423 is
LCM of Numerators i.e. for 6546,5485 is 35904810
GCF of denominators i.e. for 783,2423 is 1.
Thus, LCM of Fractions is 35904810.Finally, LCM of Fractions for 6546/783, 5485/2423 is 35904810.