Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5456/171, 9346/5760 quickly i.e. 25495888/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5456/171, 9346/5760 is 25495888/9.
LCM(5456/171, 9346/5760) = 25495888/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5456/171,9346/5760
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 5456,9346
Least Common Multiple of Numerators i.e. LCM of 5456,9346 is 25495888.
GCF of Denominators means GCF of 171,5760 as per the given fractions.
GCF of 171,5760 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5456,9346
2 | 5456, 9346 |
2728, 4673 |
∴ So the LCM of the given numbers is 2 x 2728 x 4673 = 25495888
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 5456,9346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5456,9346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5456,9346) x common factors =2 x 1 = 2
LCM(5456,9346) = ( 5456 × 9346 ) / 2
LCM(5456,9346) = 50991776 / 2
LCM(5456,9346) = 25495888
Lets's calculate GCF of 171,5760
3 | 171, 5760 |
3 | 57, 1920 |
19, 640 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25495888/9
Therefore the LCM of Fractions 5456/171,9346/5760 is 25495888/9
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 5760
List of positive integer factors of 5760 that divides 5760 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760
Greatest Common Factor
We found the factors 171,5760 . The biggest common factor number is the GCF number.
So the greatest common factor 171,5760 is 9.
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 5456/171, 9346/5760?
Answer: LCM of Numerators as per given numbers 5456/171, 9346/5760 is
LCM of Numerators i.e. for 5456,9346 is 25495888
GCF of denominators i.e. for 171,5760 is 9.
Thus, LCM of Fractions is 25495888/9.Finally, LCM of Fractions for 5456/171, 9346/5760 is 25495888/9.