Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 395/861, 2640/130 quickly i.e. 208560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 395/861, 2640/130 is 208560.
LCM(395/861, 2640/130) = 208560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 395/861,2640/130
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 395,2640
Least Common Multiple of Numerators i.e. LCM of 395,2640 is 208560.
GCF of Denominators means GCF of 861,130 as per the given fractions.
GCF of 861,130 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 395,2640
5 | 395, 2640 |
79, 528 |
∴ So the LCM of the given numbers is 5 x 79 x 528 = 208560
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 395,2640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,2640) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(395,2640) x common factors =5 x 1 = 5
LCM(395,2640) = ( 395 × 2640 ) / 5
LCM(395,2640) = 1042800 / 5
LCM(395,2640) = 208560
Lets's calculate GCF of 861,130
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208560/1
Therefore the LCM of Fractions 395/861,2640/130 is 208560
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 861,130 . The biggest common factor number is the GCF number.
So the greatest common factor 861,130 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 395/861, 2640/130?
Answer: LCM of Numerators as per given numbers 395/861, 2640/130 is
LCM of Numerators i.e. for 395,2640 is 208560
GCF of denominators i.e. for 861,130 is 1.
Thus, LCM of Fractions is 208560.Finally, LCM of Fractions for 395/861, 2640/130 is 208560.