Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/671, 1455/8113 quickly i.e. 112035/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/671, 1455/8113 is 112035/61.
LCM(77/671, 1455/8113) = 112035/61
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/671,1455/8113
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 77,1455
Least Common Multiple of Numerators i.e. LCM of 77,1455 is 112035.
GCF of Denominators means GCF of 671,8113 as per the given fractions.
GCF of 671,8113 is 61 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,1455
Given numbers has no common factors except 1. So, there LCM is their product i.e 112035
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 77,1455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,1455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,1455) x common factors =1 x 1 = 1
LCM(77,1455) = ( 77 × 1455 ) / 1
LCM(77,1455) = 112035 / 1
LCM(77,1455) = 112035
Lets's calculate GCF of 671,8113
61 | 671, 8113 |
11, 133 |
∴ So the GCF of the given numbers is 61 = 61
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112035/61
Therefore the LCM of Fractions 77/671,1455/8113 is 112035/61
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 8113
List of positive integer factors of 8113 that divides 8113 without a remainder.
1,7,19,61,133,427,1159,8113
Greatest Common Factor
We found the factors 671,8113 . The biggest common factor number is the GCF number.
So the greatest common factor 671,8113 is 61.
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 77/671, 1455/8113?
Answer: LCM of Numerators as per given numbers 77/671, 1455/8113 is
LCM of Numerators i.e. for 77,1455 is 112035
GCF of denominators i.e. for 671,8113 is 61.
Thus, LCM of Fractions is 112035/61.Finally, LCM of Fractions for 77/671, 1455/8113 is 112035/61.