Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/978, 773/695, 631/370 quickly i.e. 7804208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/978, 773/695, 631/370 is 7804208.
LCM(16/978, 773/695, 631/370) = 7804208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/978,773/695,631/370
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 16,773,631
Least Common Multiple of Numerators i.e. LCM of 16,773,631 is 7804208.
GCF of Denominators means GCF of 978,695,370 as per the given fractions.
GCF of 978,695,370 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,773,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 7804208
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 16,773,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,773,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,773,631) x common factors =1 x 1 = 1
LCM(16,773,631) = ( 16 × 773 × 631 ) / 1
LCM(16,773,631) = 7804208 / 1
LCM(16,773,631) = 7804208
Lets's calculate GCF of 978,695,370
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7804208/1
Therefore the LCM of Fractions 16/978,773/695,631/370 is 7804208
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 978,695,370 . The biggest common factor number is the GCF number.
So the greatest common factor 978,695,370 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 16/978, 773/695, 631/370?
Answer: LCM of Numerators as per given numbers 16/978, 773/695, 631/370 is
LCM of Numerators i.e. for 16,773,631 is 7804208
GCF of denominators i.e. for 978,695,370 is 1.
Thus, LCM of Fractions is 7804208.Finally, LCM of Fractions for 16/978, 773/695, 631/370 is 7804208.