Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/15, 46/86, 874/46 quickly i.e. 27968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/15, 46/86, 874/46 is 27968.
LCM(64/15, 46/86, 874/46) = 27968
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/15,46/86,874/46
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 64,46,874
Least Common Multiple of Numerators i.e. LCM of 64,46,874 is 27968.
GCF of Denominators means GCF of 15,86,46 as per the given fractions.
GCF of 15,86,46 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,46,874
2 | 64, 46, 874 |
23 | 32, 23, 437 |
32, 1, 19 |
∴ So the LCM of the given numbers is 2 x 23 x 32 x 1 x 19 = 27968
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 64,46,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,46,874) = 2
common factors(in case of two or more numbers have common factors) = 46
GCF(64,46,874) x common factors =2 x 46 = 92
LCM(64,46,874) = ( 64 × 46 × 874 ) / 92
LCM(64,46,874) = 2573056 / 92
LCM(64,46,874) = 27968
Lets's calculate GCF of 15,86,46
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27968/1
Therefore the LCM of Fractions 64/15,46/86,874/46 is 27968
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Greatest Common Factor
We found the factors 15,86,46 . The biggest common factor number is the GCF number.
So the greatest common factor 15,86,46 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 64/15, 46/86, 874/46?
Answer: LCM of Numerators as per given numbers 64/15, 46/86, 874/46 is
LCM of Numerators i.e. for 64,46,874 is 27968
GCF of denominators i.e. for 15,86,46 is 1.
Thus, LCM of Fractions is 27968.Finally, LCM of Fractions for 64/15, 46/86, 874/46 is 27968.