Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/827, 482/551, 361/873 quickly i.e. 10614122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/827, 482/551, 361/873 is 10614122.
LCM(61/827, 482/551, 361/873) = 10614122
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/827,482/551,361/873
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 61,482,361
Least Common Multiple of Numerators i.e. LCM of 61,482,361 is 10614122.
GCF of Denominators means GCF of 827,551,873 as per the given fractions.
GCF of 827,551,873 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,482,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 10614122
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 61,482,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,482,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,482,361) x common factors =1 x 1 = 1
LCM(61,482,361) = ( 61 × 482 × 361 ) / 1
LCM(61,482,361) = 10614122 / 1
LCM(61,482,361) = 10614122
Lets's calculate GCF of 827,551,873
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10614122/1
Therefore the LCM of Fractions 61/827,482/551,361/873 is 10614122
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Greatest Common Factor
We found the factors 827,551,873 . The biggest common factor number is the GCF number.
So the greatest common factor 827,551,873 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 61/827, 482/551, 361/873?
Answer: LCM of Numerators as per given numbers 61/827, 482/551, 361/873 is
LCM of Numerators i.e. for 61,482,361 is 10614122
GCF of denominators i.e. for 827,551,873 is 1.
Thus, LCM of Fractions is 10614122.Finally, LCM of Fractions for 61/827, 482/551, 361/873 is 10614122.