Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/842, 74/535, 789/697 quickly i.e. 3094458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/842, 74/535, 789/697 is 3094458.
LCM(53/842, 74/535, 789/697) = 3094458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/842,74/535,789/697
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 53,74,789
Least Common Multiple of Numerators i.e. LCM of 53,74,789 is 3094458.
GCF of Denominators means GCF of 842,535,697 as per the given fractions.
GCF of 842,535,697 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,74,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 3094458
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 53,74,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,74,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,74,789) x common factors =1 x 1 = 1
LCM(53,74,789) = ( 53 × 74 × 789 ) / 1
LCM(53,74,789) = 3094458 / 1
LCM(53,74,789) = 3094458
Lets's calculate GCF of 842,535,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3094458/1
Therefore the LCM of Fractions 53/842,74/535,789/697 is 3094458
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 842,535,697 . The biggest common factor number is the GCF number.
So the greatest common factor 842,535,697 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 53/842, 74/535, 789/697?
Answer: LCM of Numerators as per given numbers 53/842, 74/535, 789/697 is
LCM of Numerators i.e. for 53,74,789 is 3094458
GCF of denominators i.e. for 842,535,697 is 1.
Thus, LCM of Fractions is 3094458.Finally, LCM of Fractions for 53/842, 74/535, 789/697 is 3094458.