Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6560/158, 6283/4683 quickly i.e. 41216480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6560/158, 6283/4683 is 41216480.
LCM(6560/158, 6283/4683) = 41216480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6560/158,6283/4683
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 6560,6283
Least Common Multiple of Numerators i.e. LCM of 6560,6283 is 41216480.
GCF of Denominators means GCF of 158,4683 as per the given fractions.
GCF of 158,4683 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6560,6283
Given numbers has no common factors except 1. So, there LCM is their product i.e 41216480
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 6560,6283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6560,6283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6560,6283) x common factors =1 x 1 = 1
LCM(6560,6283) = ( 6560 × 6283 ) / 1
LCM(6560,6283) = 41216480 / 1
LCM(6560,6283) = 41216480
Lets's calculate GCF of 158,4683
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41216480/1
Therefore the LCM of Fractions 6560/158,6283/4683 is 41216480
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 4683
List of positive integer factors of 4683 that divides 4683 without a remainder.
1,3,7,21,223,669,1561,4683
Greatest Common Factor
We found the factors 158,4683 . The biggest common factor number is the GCF number.
So the greatest common factor 158,4683 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 6560/158, 6283/4683?
Answer: LCM of Numerators as per given numbers 6560/158, 6283/4683 is
LCM of Numerators i.e. for 6560,6283 is 41216480
GCF of denominators i.e. for 158,4683 is 1.
Thus, LCM of Fractions is 41216480.Finally, LCM of Fractions for 6560/158, 6283/4683 is 41216480.