Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/95, 14/611, 578/584 quickly i.e. 52598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/95, 14/611, 578/584 is 52598.
LCM(13/95, 14/611, 578/584) = 52598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/95,14/611,578/584
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 13,14,578
Least Common Multiple of Numerators i.e. LCM of 13,14,578 is 52598.
GCF of Denominators means GCF of 95,611,584 as per the given fractions.
GCF of 95,611,584 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,14,578
2 | 13, 14, 578 |
13, 7, 289 |
∴ So the LCM of the given numbers is 2 x 13 x 7 x 289 = 52598
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 13,14,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,14,578) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(13,14,578) x common factors =1 x 2 = 2
LCM(13,14,578) = ( 13 × 14 × 578 ) / 2
LCM(13,14,578) = 105196 / 2
LCM(13,14,578) = 52598
Lets's calculate GCF of 95,611,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52598/1
Therefore the LCM of Fractions 13/95,14/611,578/584 is 52598
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 95,611,584 . The biggest common factor number is the GCF number.
So the greatest common factor 95,611,584 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 13/95, 14/611, 578/584?
Answer: LCM of Numerators as per given numbers 13/95, 14/611, 578/584 is
LCM of Numerators i.e. for 13,14,578 is 52598
GCF of denominators i.e. for 95,611,584 is 1.
Thus, LCM of Fractions is 52598.Finally, LCM of Fractions for 13/95, 14/611, 578/584 is 52598.