Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 558/35, 232/12, 116/522 quickly i.e. 64728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 558/35, 232/12, 116/522 is 64728.
LCM(558/35, 232/12, 116/522) = 64728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 558/35,232/12,116/522
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 558,232,116
Least Common Multiple of Numerators i.e. LCM of 558,232,116 is 64728.
GCF of Denominators means GCF of 35,12,522 as per the given fractions.
GCF of 35,12,522 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 558,232,116
2 | 558, 232, 116 |
2 | 279, 116, 58 |
29 | 279, 29, 58 |
279, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 279 x 1 x 2 = 64728
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 558,232,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,232,116) = 2
common factors(in case of two or more numbers have common factors) = 116
GCF(558,232,116) x common factors =2 x 116 = 232
LCM(558,232,116) = ( 558 × 232 × 116 ) / 232
LCM(558,232,116) = 15016896 / 232
LCM(558,232,116) = 64728
Lets's calculate GCF of 35,12,522
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64728/1
Therefore the LCM of Fractions 558/35,232/12,116/522 is 64728
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 35,12,522 . The biggest common factor number is the GCF number.
So the greatest common factor 35,12,522 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 558/35, 232/12, 116/522?
Answer: LCM of Numerators as per given numbers 558/35, 232/12, 116/522 is
LCM of Numerators i.e. for 558,232,116 is 64728
GCF of denominators i.e. for 35,12,522 is 1.
Thus, LCM of Fractions is 64728.Finally, LCM of Fractions for 558/35, 232/12, 116/522 is 64728.