Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/44, 72/615, 510/686 quickly i.e. 263160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/44, 72/615, 510/686 is 263160.
LCM(86/44, 72/615, 510/686) = 263160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/44,72/615,510/686
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 86,72,510
Least Common Multiple of Numerators i.e. LCM of 86,72,510 is 263160.
GCF of Denominators means GCF of 44,615,686 as per the given fractions.
GCF of 44,615,686 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,72,510
2 | 86, 72, 510 |
3 | 43, 36, 255 |
43, 12, 85 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 12 x 85 = 263160
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 86,72,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,72,510) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(86,72,510) x common factors =2 x 6 = 12
LCM(86,72,510) = ( 86 × 72 × 510 ) / 12
LCM(86,72,510) = 3157920 / 12
LCM(86,72,510) = 263160
Lets's calculate GCF of 44,615,686
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263160/1
Therefore the LCM of Fractions 86/44,72/615,510/686 is 263160
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 44,615,686 . The biggest common factor number is the GCF number.
So the greatest common factor 44,615,686 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 86/44, 72/615, 510/686?
Answer: LCM of Numerators as per given numbers 86/44, 72/615, 510/686 is
LCM of Numerators i.e. for 86,72,510 is 263160
GCF of denominators i.e. for 44,615,686 is 1.
Thus, LCM of Fractions is 263160.Finally, LCM of Fractions for 86/44, 72/615, 510/686 is 263160.