Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9734/778, 3469/339 quickly i.e. 33767246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9734/778, 3469/339 is 33767246.
LCM(9734/778, 3469/339) = 33767246
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9734/778,3469/339
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 9734,3469
Least Common Multiple of Numerators i.e. LCM of 9734,3469 is 33767246.
GCF of Denominators means GCF of 778,339 as per the given fractions.
GCF of 778,339 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9734,3469
Given numbers has no common factors except 1. So, there LCM is their product i.e 33767246
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 9734,3469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9734,3469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9734,3469) x common factors =1 x 1 = 1
LCM(9734,3469) = ( 9734 × 3469 ) / 1
LCM(9734,3469) = 33767246 / 1
LCM(9734,3469) = 33767246
Lets's calculate GCF of 778,339
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33767246/1
Therefore the LCM of Fractions 9734/778,3469/339 is 33767246
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 778,339 . The biggest common factor number is the GCF number.
So the greatest common factor 778,339 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 9734/778, 3469/339?
Answer: LCM of Numerators as per given numbers 9734/778, 3469/339 is
LCM of Numerators i.e. for 9734,3469 is 33767246
GCF of denominators i.e. for 778,339 is 1.
Thus, LCM of Fractions is 33767246.Finally, LCM of Fractions for 9734/778, 3469/339 is 33767246.