Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9767/550, 8770/991 quickly i.e. 85656590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9767/550, 8770/991 is 85656590.
LCM(9767/550, 8770/991) = 85656590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9767/550,8770/991
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 9767,8770
Least Common Multiple of Numerators i.e. LCM of 9767,8770 is 85656590.
GCF of Denominators means GCF of 550,991 as per the given fractions.
GCF of 550,991 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9767,8770
Given numbers has no common factors except 1. So, there LCM is their product i.e 85656590
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 9767,8770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9767,8770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9767,8770) x common factors =1 x 1 = 1
LCM(9767,8770) = ( 9767 × 8770 ) / 1
LCM(9767,8770) = 85656590 / 1
LCM(9767,8770) = 85656590
Lets's calculate GCF of 550,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85656590/1
Therefore the LCM of Fractions 9767/550,8770/991 is 85656590
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 550,991 . The biggest common factor number is the GCF number.
So the greatest common factor 550,991 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 9767/550, 8770/991?
Answer: LCM of Numerators as per given numbers 9767/550, 8770/991 is
LCM of Numerators i.e. for 9767,8770 is 85656590
GCF of denominators i.e. for 550,991 is 1.
Thus, LCM of Fractions is 85656590.Finally, LCM of Fractions for 9767/550, 8770/991 is 85656590.