Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 887/78, 845/8173 quickly i.e. 749515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 887/78, 845/8173 is 749515.
LCM(887/78, 845/8173) = 749515
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 887/78,845/8173
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 887,845
Least Common Multiple of Numerators i.e. LCM of 887,845 is 749515.
GCF of Denominators means GCF of 78,8173 as per the given fractions.
GCF of 78,8173 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 887,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 749515
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 887,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,845) x common factors =1 x 1 = 1
LCM(887,845) = ( 887 × 845 ) / 1
LCM(887,845) = 749515 / 1
LCM(887,845) = 749515
Lets's calculate GCF of 78,8173
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749515/1
Therefore the LCM of Fractions 887/78,845/8173 is 749515
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 8173
List of positive integer factors of 8173 that divides 8173 without a remainder.
1,11,743,8173
Greatest Common Factor
We found the factors 78,8173 . The biggest common factor number is the GCF number.
So the greatest common factor 78,8173 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 887/78, 845/8173?
Answer: LCM of Numerators as per given numbers 887/78, 845/8173 is
LCM of Numerators i.e. for 887,845 is 749515
GCF of denominators i.e. for 78,8173 is 1.
Thus, LCM of Fractions is 749515.Finally, LCM of Fractions for 887/78, 845/8173 is 749515.