Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 240/26, 560/619 quickly i.e. 1680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 240/26, 560/619 is 1680.
LCM(240/26, 560/619) = 1680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 240/26,560/619
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 240,560
Least Common Multiple of Numerators i.e. LCM of 240,560 is 1680.
GCF of Denominators means GCF of 26,619 as per the given fractions.
GCF of 26,619 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 240,560
2 | 240, 560 |
2 | 120, 280 |
2 | 60, 140 |
2 | 30, 70 |
5 | 15, 35 |
3, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 3 x 7 = 1680
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 240,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,560) = 80
common factors(in case of two or more numbers have common factors) = 1
GCF(240,560) x common factors =80 x 1 = 80
LCM(240,560) = ( 240 × 560 ) / 80
LCM(240,560) = 134400 / 80
LCM(240,560) = 1680
Lets's calculate GCF of 26,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1680/1
Therefore the LCM of Fractions 240/26,560/619 is 1680
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Greatest Common Factor
We found the factors 26,619 . The biggest common factor number is the GCF number.
So the greatest common factor 26,619 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 240/26, 560/619?
Answer: LCM of Numerators as per given numbers 240/26, 560/619 is
LCM of Numerators i.e. for 240,560 is 1680
GCF of denominators i.e. for 26,619 is 1.
Thus, LCM of Fractions is 1680.Finally, LCM of Fractions for 240/26, 560/619 is 1680.