Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9018/775, 8725/7121 quickly i.e. 78682050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9018/775, 8725/7121 is 78682050.
LCM(9018/775, 8725/7121) = 78682050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9018/775,8725/7121
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 9018,8725
Least Common Multiple of Numerators i.e. LCM of 9018,8725 is 78682050.
GCF of Denominators means GCF of 775,7121 as per the given fractions.
GCF of 775,7121 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9018,8725
Given numbers has no common factors except 1. So, there LCM is their product i.e 78682050
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 9018,8725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9018,8725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9018,8725) x common factors =1 x 1 = 1
LCM(9018,8725) = ( 9018 × 8725 ) / 1
LCM(9018,8725) = 78682050 / 1
LCM(9018,8725) = 78682050
Lets's calculate GCF of 775,7121
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78682050/1
Therefore the LCM of Fractions 9018/775,8725/7121 is 78682050
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 7121
List of positive integer factors of 7121 that divides 7121 without a remainder.
1,7121
Greatest Common Factor
We found the factors 775,7121 . The biggest common factor number is the GCF number.
So the greatest common factor 775,7121 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 9018/775, 8725/7121?
Answer: LCM of Numerators as per given numbers 9018/775, 8725/7121 is
LCM of Numerators i.e. for 9018,8725 is 78682050
GCF of denominators i.e. for 775,7121 is 1.
Thus, LCM of Fractions is 78682050.Finally, LCM of Fractions for 9018/775, 8725/7121 is 78682050.