Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/655, 3237/2783 quickly i.e. 129480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/655, 3237/2783 is 129480.
LCM(40/655, 3237/2783) = 129480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/655,3237/2783
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 40,3237
Least Common Multiple of Numerators i.e. LCM of 40,3237 is 129480.
GCF of Denominators means GCF of 655,2783 as per the given fractions.
GCF of 655,2783 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,3237
Given numbers has no common factors except 1. So, there LCM is their product i.e 129480
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 40,3237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,3237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,3237) x common factors =1 x 1 = 1
LCM(40,3237) = ( 40 × 3237 ) / 1
LCM(40,3237) = 129480 / 1
LCM(40,3237) = 129480
Lets's calculate GCF of 655,2783
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129480/1
Therefore the LCM of Fractions 40/655,3237/2783 is 129480
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 2783
List of positive integer factors of 2783 that divides 2783 without a remainder.
1,11,23,121,253,2783
Greatest Common Factor
We found the factors 655,2783 . The biggest common factor number is the GCF number.
So the greatest common factor 655,2783 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 40/655, 3237/2783?
Answer: LCM of Numerators as per given numbers 40/655, 3237/2783 is
LCM of Numerators i.e. for 40,3237 is 129480
GCF of denominators i.e. for 655,2783 is 1.
Thus, LCM of Fractions is 129480.Finally, LCM of Fractions for 40/655, 3237/2783 is 129480.