Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/17, 52/27, 91/59, 64/489 quickly i.e. 273728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/17, 52/27, 91/59, 64/489 is 273728.
LCM(94/17, 52/27, 91/59, 64/489) = 273728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/17,52/27,91/59,64/489
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 94,52,91,64
Least Common Multiple of Numerators i.e. LCM of 94,52,91,64 is 273728.
GCF of Denominators means GCF of 17,27,59,489 as per the given fractions.
GCF of 17,27,59,489 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,52,91,64
2 | 94, 52, 91, 64 |
2 | 47, 26, 91, 32 |
13 | 47, 13, 91, 16 |
47, 1, 7, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 47 x 1 x 7 x 16 = 273728
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 94,52,91,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,52,91,64) = 1
common factors(in case of two or more numbers have common factors) = 104
GCF(94,52,91,64) x common factors =1 x 104 = 104
LCM(94,52,91,64) = ( 94 × 52 × 91 × 64 ) / 104
LCM(94,52,91,64) = 28467712 / 104
LCM(94,52,91,64) = 273728
Lets's calculate GCF of 17,27,59,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273728/1
Therefore the LCM of Fractions 94/17,52/27,91/59,64/489 is 273728
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 17,27,59,489 . The biggest common factor number is the GCF number.
So the greatest common factor 17,27,59,489 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 94/17, 52/27, 91/59, 64/489?
Answer: LCM of Numerators as per given numbers 94/17, 52/27, 91/59, 64/489 is
LCM of Numerators i.e. for 94,52,91,64 is 273728
GCF of denominators i.e. for 17,27,59,489 is 1.
Thus, LCM of Fractions is 273728.Finally, LCM of Fractions for 94/17, 52/27, 91/59, 64/489 is 273728.