Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 821/755, 1447/497 quickly i.e. 1187987 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 821/755, 1447/497 is 1187987.
LCM(821/755, 1447/497) = 1187987
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 821/755,1447/497
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 821,1447
Least Common Multiple of Numerators i.e. LCM of 821,1447 is 1187987.
GCF of Denominators means GCF of 755,497 as per the given fractions.
GCF of 755,497 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 821,1447
Given numbers has no common factors except 1. So, there LCM is their product i.e 1187987
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 821,1447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,1447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,1447) x common factors =1 x 1 = 1
LCM(821,1447) = ( 821 × 1447 ) / 1
LCM(821,1447) = 1187987 / 1
LCM(821,1447) = 1187987
Lets's calculate GCF of 755,497
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1187987/1
Therefore the LCM of Fractions 821/755,1447/497 is 1187987
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Greatest Common Factor
We found the factors 755,497 . The biggest common factor number is the GCF number.
So the greatest common factor 755,497 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 821/755, 1447/497?
Answer: LCM of Numerators as per given numbers 821/755, 1447/497 is
LCM of Numerators i.e. for 821,1447 is 1187987
GCF of denominators i.e. for 755,497 is 1.
Thus, LCM of Fractions is 1187987.Finally, LCM of Fractions for 821/755, 1447/497 is 1187987.