Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/340, 6764/9136 quickly i.e. 18601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/340, 6764/9136 is 18601.
LCM(44/340, 6764/9136) = 18601
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/340,6764/9136
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 44,6764
Least Common Multiple of Numerators i.e. LCM of 44,6764 is 74404.
GCF of Denominators means GCF of 340,9136 as per the given fractions.
GCF of 340,9136 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,6764
2 | 44, 6764 |
2 | 22, 3382 |
11, 1691 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 1691 = 74404
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 44,6764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,6764) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(44,6764) x common factors =4 x 1 = 4
LCM(44,6764) = ( 44 × 6764 ) / 4
LCM(44,6764) = 297616 / 4
LCM(44,6764) = 74404
Lets's calculate GCF of 340,9136
2 | 340, 9136 |
2 | 170, 4568 |
85, 2284 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74404/4
Therefore the LCM of Fractions 44/340,6764/9136 is 18601
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 9136
List of positive integer factors of 9136 that divides 9136 without a remainder.
1,2,4,8,16,571,1142,2284,4568,9136
Greatest Common Factor
We found the factors 340,9136 . The biggest common factor number is the GCF number.
So the greatest common factor 340,9136 is 4.
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 44/340, 6764/9136?
Answer: LCM of Numerators as per given numbers 44/340, 6764/9136 is
LCM of Numerators i.e. for 44,6764 is 74404
GCF of denominators i.e. for 340,9136 is 4.
Thus, LCM of Fractions is 18601.Finally, LCM of Fractions for 44/340, 6764/9136 is 18601.