Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 569/475, 997/255, 130/638 quickly i.e. 73748090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 569/475, 997/255, 130/638 is 73748090.
LCM(569/475, 997/255, 130/638) = 73748090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 569/475,997/255,130/638
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 569,997,130
Least Common Multiple of Numerators i.e. LCM of 569,997,130 is 73748090.
GCF of Denominators means GCF of 475,255,638 as per the given fractions.
GCF of 475,255,638 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 569,997,130
Given numbers has no common factors except 1. So, there LCM is their product i.e 73748090
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 569,997,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,997,130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,997,130) x common factors =1 x 1 = 1
LCM(569,997,130) = ( 569 × 997 × 130 ) / 1
LCM(569,997,130) = 73748090 / 1
LCM(569,997,130) = 73748090
Lets's calculate GCF of 475,255,638
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73748090/1
Therefore the LCM of Fractions 569/475,997/255,130/638 is 73748090
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 475,255,638 . The biggest common factor number is the GCF number.
So the greatest common factor 475,255,638 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 569/475, 997/255, 130/638?
Answer: LCM of Numerators as per given numbers 569/475, 997/255, 130/638 is
LCM of Numerators i.e. for 569,997,130 is 73748090
GCF of denominators i.e. for 475,255,638 is 1.
Thus, LCM of Fractions is 73748090.Finally, LCM of Fractions for 569/475, 997/255, 130/638 is 73748090.