Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3364/791, 6919/9435 quickly i.e. 23275516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3364/791, 6919/9435 is 23275516.
LCM(3364/791, 6919/9435) = 23275516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3364/791,6919/9435
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 3364,6919
Least Common Multiple of Numerators i.e. LCM of 3364,6919 is 23275516.
GCF of Denominators means GCF of 791,9435 as per the given fractions.
GCF of 791,9435 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3364,6919
Given numbers has no common factors except 1. So, there LCM is their product i.e 23275516
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 3364,6919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3364,6919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3364,6919) x common factors =1 x 1 = 1
LCM(3364,6919) = ( 3364 × 6919 ) / 1
LCM(3364,6919) = 23275516 / 1
LCM(3364,6919) = 23275516
Lets's calculate GCF of 791,9435
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23275516/1
Therefore the LCM of Fractions 3364/791,6919/9435 is 23275516
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 9435
List of positive integer factors of 9435 that divides 9435 without a remainder.
1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435
Greatest Common Factor
We found the factors 791,9435 . The biggest common factor number is the GCF number.
So the greatest common factor 791,9435 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 3364/791, 6919/9435?
Answer: LCM of Numerators as per given numbers 3364/791, 6919/9435 is
LCM of Numerators i.e. for 3364,6919 is 23275516
GCF of denominators i.e. for 791,9435 is 1.
Thus, LCM of Fractions is 23275516.Finally, LCM of Fractions for 3364/791, 6919/9435 is 23275516.