Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 973/27, 978/5371 quickly i.e. 951594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 973/27, 978/5371 is 951594.
LCM(973/27, 978/5371) = 951594
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 973/27,978/5371
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 973,978
Least Common Multiple of Numerators i.e. LCM of 973,978 is 951594.
GCF of Denominators means GCF of 27,5371 as per the given fractions.
GCF of 27,5371 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 973,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 951594
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 973,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,978) x common factors =1 x 1 = 1
LCM(973,978) = ( 973 × 978 ) / 1
LCM(973,978) = 951594 / 1
LCM(973,978) = 951594
Lets's calculate GCF of 27,5371
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 951594/1
Therefore the LCM of Fractions 973/27,978/5371 is 951594
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 5371
List of positive integer factors of 5371 that divides 5371 without a remainder.
1,41,131,5371
Greatest Common Factor
We found the factors 27,5371 . The biggest common factor number is the GCF number.
So the greatest common factor 27,5371 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 973/27, 978/5371?
Answer: LCM of Numerators as per given numbers 973/27, 978/5371 is
LCM of Numerators i.e. for 973,978 is 951594
GCF of denominators i.e. for 27,5371 is 1.
Thus, LCM of Fractions is 951594.Finally, LCM of Fractions for 973/27, 978/5371 is 951594.