Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 348/26, 544/9588 quickly i.e. 23664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 348/26, 544/9588 is 23664.
LCM(348/26, 544/9588) = 23664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 348/26,544/9588
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 348,544
Least Common Multiple of Numerators i.e. LCM of 348,544 is 47328.
GCF of Denominators means GCF of 26,9588 as per the given fractions.
GCF of 26,9588 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 348,544
2 | 348, 544 |
2 | 174, 272 |
87, 136 |
∴ So the LCM of the given numbers is 2 x 2 x 87 x 136 = 47328
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 348,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,544) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(348,544) x common factors =4 x 1 = 4
LCM(348,544) = ( 348 × 544 ) / 4
LCM(348,544) = 189312 / 4
LCM(348,544) = 47328
Lets's calculate GCF of 26,9588
2 | 26, 9588 |
13, 4794 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47328/2
Therefore the LCM of Fractions 348/26,544/9588 is 23664
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 9588
List of positive integer factors of 9588 that divides 9588 without a remainder.
1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588
Greatest Common Factor
We found the factors 26,9588 . The biggest common factor number is the GCF number.
So the greatest common factor 26,9588 is 2.
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 348/26, 544/9588?
Answer: LCM of Numerators as per given numbers 348/26, 544/9588 is
LCM of Numerators i.e. for 348,544 is 47328
GCF of denominators i.e. for 26,9588 is 2.
Thus, LCM of Fractions is 23664.Finally, LCM of Fractions for 348/26, 544/9588 is 23664.