Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 558/497, 8874/475 quickly i.e. 275094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 558/497, 8874/475 is 275094.
LCM(558/497, 8874/475) = 275094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 558/497,8874/475
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 558,8874
Least Common Multiple of Numerators i.e. LCM of 558,8874 is 275094.
GCF of Denominators means GCF of 497,475 as per the given fractions.
GCF of 497,475 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 558,8874
2 | 558, 8874 |
3 | 279, 4437 |
3 | 93, 1479 |
31, 493 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 493 = 275094
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 558,8874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,8874) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(558,8874) x common factors =18 x 1 = 18
LCM(558,8874) = ( 558 × 8874 ) / 18
LCM(558,8874) = 4951692 / 18
LCM(558,8874) = 275094
Lets's calculate GCF of 497,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275094/1
Therefore the LCM of Fractions 558/497,8874/475 is 275094
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Greatest Common Factor
We found the factors 497,475 . The biggest common factor number is the GCF number.
So the greatest common factor 497,475 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 558/497, 8874/475?
Answer: LCM of Numerators as per given numbers 558/497, 8874/475 is
LCM of Numerators i.e. for 558,8874 is 275094
GCF of denominators i.e. for 497,475 is 1.
Thus, LCM of Fractions is 275094.Finally, LCM of Fractions for 558/497, 8874/475 is 275094.