Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 483/588, 2154/117 quickly i.e. 115598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 483/588, 2154/117 is 115598.
LCM(483/588, 2154/117) = 115598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 483/588,2154/117
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 483,2154
Least Common Multiple of Numerators i.e. LCM of 483,2154 is 346794.
GCF of Denominators means GCF of 588,117 as per the given fractions.
GCF of 588,117 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 483,2154
3 | 483, 2154 |
161, 718 |
∴ So the LCM of the given numbers is 3 x 161 x 718 = 346794
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 483,2154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,2154) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(483,2154) x common factors =3 x 1 = 3
LCM(483,2154) = ( 483 × 2154 ) / 3
LCM(483,2154) = 1040382 / 3
LCM(483,2154) = 346794
Lets's calculate GCF of 588,117
3 | 588, 117 |
196, 39 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 346794/3
Therefore the LCM of Fractions 483/588,2154/117 is 115598
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Greatest Common Factor
We found the factors 588,117 . The biggest common factor number is the GCF number.
So the greatest common factor 588,117 is 3.
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 483/588, 2154/117?
Answer: LCM of Numerators as per given numbers 483/588, 2154/117 is
LCM of Numerators i.e. for 483,2154 is 346794
GCF of denominators i.e. for 588,117 is 3.
Thus, LCM of Fractions is 115598.Finally, LCM of Fractions for 483/588, 2154/117 is 115598.