Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 793/80, 955/8698 quickly i.e. 757315/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 793/80, 955/8698 is 757315/2.
LCM(793/80, 955/8698) = 757315/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 793/80,955/8698
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 793,955
Least Common Multiple of Numerators i.e. LCM of 793,955 is 757315.
GCF of Denominators means GCF of 80,8698 as per the given fractions.
GCF of 80,8698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 793,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 757315
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 793,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,955) x common factors =1 x 1 = 1
LCM(793,955) = ( 793 × 955 ) / 1
LCM(793,955) = 757315 / 1
LCM(793,955) = 757315
Lets's calculate GCF of 80,8698
2 | 80, 8698 |
40, 4349 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 757315/2
Therefore the LCM of Fractions 793/80,955/8698 is 757315/2
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 8698
List of positive integer factors of 8698 that divides 8698 without a remainder.
1,2,4349,8698
Greatest Common Factor
We found the factors 80,8698 . The biggest common factor number is the GCF number.
So the greatest common factor 80,8698 is 2.
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 793/80, 955/8698?
Answer: LCM of Numerators as per given numbers 793/80, 955/8698 is
LCM of Numerators i.e. for 793,955 is 757315
GCF of denominators i.e. for 80,8698 is 2.
Thus, LCM of Fractions is 757315/2.Finally, LCM of Fractions for 793/80, 955/8698 is 757315/2.