Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/998, 9942/2335 quickly i.e. 765534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/998, 9942/2335 is 765534.
LCM(77/998, 9942/2335) = 765534
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/998,9942/2335
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 77,9942
Least Common Multiple of Numerators i.e. LCM of 77,9942 is 765534.
GCF of Denominators means GCF of 998,2335 as per the given fractions.
GCF of 998,2335 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,9942
Given numbers has no common factors except 1. So, there LCM is their product i.e 765534
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 77,9942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,9942) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,9942) x common factors =1 x 1 = 1
LCM(77,9942) = ( 77 × 9942 ) / 1
LCM(77,9942) = 765534 / 1
LCM(77,9942) = 765534
Lets's calculate GCF of 998,2335
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 765534/1
Therefore the LCM of Fractions 77/998,9942/2335 is 765534
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 2335
List of positive integer factors of 2335 that divides 2335 without a remainder.
1,5,467,2335
Greatest Common Factor
We found the factors 998,2335 . The biggest common factor number is the GCF number.
So the greatest common factor 998,2335 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 77/998, 9942/2335?
Answer: LCM of Numerators as per given numbers 77/998, 9942/2335 is
LCM of Numerators i.e. for 77,9942 is 765534
GCF of denominators i.e. for 998,2335 is 1.
Thus, LCM of Fractions is 765534.Finally, LCM of Fractions for 77/998, 9942/2335 is 765534.