Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/871, 1005/1079 quickly i.e. 74370/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/871, 1005/1079 is 74370/13.
LCM(74/871, 1005/1079) = 74370/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/871,1005/1079
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 74,1005
Least Common Multiple of Numerators i.e. LCM of 74,1005 is 74370.
GCF of Denominators means GCF of 871,1079 as per the given fractions.
GCF of 871,1079 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,1005
Given numbers has no common factors except 1. So, there LCM is their product i.e 74370
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 74,1005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,1005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,1005) x common factors =1 x 1 = 1
LCM(74,1005) = ( 74 × 1005 ) / 1
LCM(74,1005) = 74370 / 1
LCM(74,1005) = 74370
Lets's calculate GCF of 871,1079
13 | 871, 1079 |
67, 83 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74370/13
Therefore the LCM of Fractions 74/871,1005/1079 is 74370/13
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 1079
List of positive integer factors of 1079 that divides 1079 without a remainder.
1,13,83,1079
Greatest Common Factor
We found the factors 871,1079 . The biggest common factor number is the GCF number.
So the greatest common factor 871,1079 is 13.
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 74/871, 1005/1079?
Answer: LCM of Numerators as per given numbers 74/871, 1005/1079 is
LCM of Numerators i.e. for 74,1005 is 74370
GCF of denominators i.e. for 871,1079 is 13.
Thus, LCM of Fractions is 74370/13.Finally, LCM of Fractions for 74/871, 1005/1079 is 74370/13.