Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 997/488, 8964/942 quickly i.e. 4468554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 997/488, 8964/942 is 4468554.
LCM(997/488, 8964/942) = 4468554
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 997/488,8964/942
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 997,8964
Least Common Multiple of Numerators i.e. LCM of 997,8964 is 8937108.
GCF of Denominators means GCF of 488,942 as per the given fractions.
GCF of 488,942 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 997,8964
Given numbers has no common factors except 1. So, there LCM is their product i.e 8937108
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 997,8964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,8964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,8964) x common factors =1 x 1 = 1
LCM(997,8964) = ( 997 × 8964 ) / 1
LCM(997,8964) = 8937108 / 1
LCM(997,8964) = 8937108
Lets's calculate GCF of 488,942
2 | 488, 942 |
244, 471 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8937108/2
Therefore the LCM of Fractions 997/488,8964/942 is 4468554
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 488,942 . The biggest common factor number is the GCF number.
So the greatest common factor 488,942 is 2.
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 997/488, 8964/942?
Answer: LCM of Numerators as per given numbers 997/488, 8964/942 is
LCM of Numerators i.e. for 997,8964 is 8937108
GCF of denominators i.e. for 488,942 is 2.
Thus, LCM of Fractions is 4468554.Finally, LCM of Fractions for 997/488, 8964/942 is 4468554.