Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 973/79, 843/69, 841/69 quickly i.e. 689820999 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 973/79, 843/69, 841/69 is 689820999.
LCM(973/79, 843/69, 841/69) = 689820999
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 973/79,843/69,841/69
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 973,843,841
Least Common Multiple of Numerators i.e. LCM of 973,843,841 is 689820999.
GCF of Denominators means GCF of 79,69,69 as per the given fractions.
GCF of 79,69,69 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 973,843,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 689820999
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 973,843,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,843,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,843,841) x common factors =1 x 1 = 1
LCM(973,843,841) = ( 973 × 843 × 841 ) / 1
LCM(973,843,841) = 689820999 / 1
LCM(973,843,841) = 689820999
Lets's calculate GCF of 79,69,69
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 689820999/1
Therefore the LCM of Fractions 973/79,843/69,841/69 is 689820999
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Greatest Common Factor
We found the factors 79,69,69 . The biggest common factor number is the GCF number.
So the greatest common factor 79,69,69 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 973/79, 843/69, 841/69?
Answer: LCM of Numerators as per given numbers 973/79, 843/69, 841/69 is
LCM of Numerators i.e. for 973,843,841 is 689820999
GCF of denominators i.e. for 79,69,69 is 1.
Thus, LCM of Fractions is 689820999.Finally, LCM of Fractions for 973/79, 843/69, 841/69 is 689820999.