Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 176/590, 4398/4656 quickly i.e. 193512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 176/590, 4398/4656 is 193512.
LCM(176/590, 4398/4656) = 193512
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 176/590,4398/4656
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 176,4398
Least Common Multiple of Numerators i.e. LCM of 176,4398 is 387024.
GCF of Denominators means GCF of 590,4656 as per the given fractions.
GCF of 590,4656 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 176,4398
2 | 176, 4398 |
88, 2199 |
∴ So the LCM of the given numbers is 2 x 88 x 2199 = 387024
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 176,4398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,4398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,4398) x common factors =2 x 1 = 2
LCM(176,4398) = ( 176 × 4398 ) / 2
LCM(176,4398) = 774048 / 2
LCM(176,4398) = 387024
Lets's calculate GCF of 590,4656
2 | 590, 4656 |
295, 2328 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387024/2
Therefore the LCM of Fractions 176/590,4398/4656 is 193512
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 4656
List of positive integer factors of 4656 that divides 4656 without a remainder.
1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656
Greatest Common Factor
We found the factors 590,4656 . The biggest common factor number is the GCF number.
So the greatest common factor 590,4656 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 176/590, 4398/4656?
Answer: LCM of Numerators as per given numbers 176/590, 4398/4656 is
LCM of Numerators i.e. for 176,4398 is 387024
GCF of denominators i.e. for 590,4656 is 2.
Thus, LCM of Fractions is 193512.Finally, LCM of Fractions for 176/590, 4398/4656 is 193512.