Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 488/180, 411/511, 397/855 quickly i.e. 79625496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 488/180, 411/511, 397/855 is 79625496.
LCM(488/180, 411/511, 397/855) = 79625496
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 488/180,411/511,397/855
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 488,411,397
Least Common Multiple of Numerators i.e. LCM of 488,411,397 is 79625496.
GCF of Denominators means GCF of 180,511,855 as per the given fractions.
GCF of 180,511,855 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 488,411,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 79625496
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 488,411,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,411,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(488,411,397) x common factors =1 x 1 = 1
LCM(488,411,397) = ( 488 × 411 × 397 ) / 1
LCM(488,411,397) = 79625496 / 1
LCM(488,411,397) = 79625496
Lets's calculate GCF of 180,511,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79625496/1
Therefore the LCM of Fractions 488/180,411/511,397/855 is 79625496
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 180,511,855 . The biggest common factor number is the GCF number.
So the greatest common factor 180,511,855 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 488/180, 411/511, 397/855?
Answer: LCM of Numerators as per given numbers 488/180, 411/511, 397/855 is
LCM of Numerators i.e. for 488,411,397 is 79625496
GCF of denominators i.e. for 180,511,855 is 1.
Thus, LCM of Fractions is 79625496.Finally, LCM of Fractions for 488/180, 411/511, 397/855 is 79625496.