Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3328/955, 6912/7906 quickly i.e. 89856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3328/955, 6912/7906 is 89856.
LCM(3328/955, 6912/7906) = 89856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3328/955,6912/7906
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 3328,6912
Least Common Multiple of Numerators i.e. LCM of 3328,6912 is 89856.
GCF of Denominators means GCF of 955,7906 as per the given fractions.
GCF of 955,7906 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3328,6912
2 | 3328, 6912 |
2 | 1664, 3456 |
2 | 832, 1728 |
2 | 416, 864 |
2 | 208, 432 |
2 | 104, 216 |
2 | 52, 108 |
2 | 26, 54 |
13, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 27 = 89856
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 3328,6912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3328,6912) = 256
common factors(in case of two or more numbers have common factors) = 1
GCF(3328,6912) x common factors =256 x 1 = 256
LCM(3328,6912) = ( 3328 × 6912 ) / 256
LCM(3328,6912) = 23003136 / 256
LCM(3328,6912) = 89856
Lets's calculate GCF of 955,7906
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89856/1
Therefore the LCM of Fractions 3328/955,6912/7906 is 89856
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 7906
List of positive integer factors of 7906 that divides 7906 without a remainder.
1,2,59,67,118,134,3953,7906
Greatest Common Factor
We found the factors 955,7906 . The biggest common factor number is the GCF number.
So the greatest common factor 955,7906 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 3328/955, 6912/7906?
Answer: LCM of Numerators as per given numbers 3328/955, 6912/7906 is
LCM of Numerators i.e. for 3328,6912 is 89856
GCF of denominators i.e. for 955,7906 is 1.
Thus, LCM of Fractions is 89856.Finally, LCM of Fractions for 3328/955, 6912/7906 is 89856.