Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 955/12, 7684/338 quickly i.e. 3669110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 955/12, 7684/338 is 3669110.
LCM(955/12, 7684/338) = 3669110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 955/12,7684/338
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 955,7684
Least Common Multiple of Numerators i.e. LCM of 955,7684 is 7338220.
GCF of Denominators means GCF of 12,338 as per the given fractions.
GCF of 12,338 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 955,7684
Given numbers has no common factors except 1. So, there LCM is their product i.e 7338220
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 955,7684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,7684) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,7684) x common factors =1 x 1 = 1
LCM(955,7684) = ( 955 × 7684 ) / 1
LCM(955,7684) = 7338220 / 1
LCM(955,7684) = 7338220
Lets's calculate GCF of 12,338
2 | 12, 338 |
6, 169 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7338220/2
Therefore the LCM of Fractions 955/12,7684/338 is 3669110
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Greatest Common Factor
We found the factors 12,338 . The biggest common factor number is the GCF number.
So the greatest common factor 12,338 is 2.
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 955/12, 7684/338?
Answer: LCM of Numerators as per given numbers 955/12, 7684/338 is
LCM of Numerators i.e. for 955,7684 is 7338220
GCF of denominators i.e. for 12,338 is 2.
Thus, LCM of Fractions is 3669110.Finally, LCM of Fractions for 955/12, 7684/338 is 3669110.