Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7429/808, 9775/957 quickly i.e. 185725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7429/808, 9775/957 is 185725.
LCM(7429/808, 9775/957) = 185725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7429/808,9775/957
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 7429,9775
Least Common Multiple of Numerators i.e. LCM of 7429,9775 is 185725.
GCF of Denominators means GCF of 808,957 as per the given fractions.
GCF of 808,957 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7429,9775
17 | 7429, 9775 |
23 | 437, 575 |
19, 25 |
∴ So the LCM of the given numbers is 17 x 23 x 19 x 25 = 185725
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 7429,9775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7429,9775) = 391
common factors(in case of two or more numbers have common factors) = 1
GCF(7429,9775) x common factors =391 x 1 = 391
LCM(7429,9775) = ( 7429 × 9775 ) / 391
LCM(7429,9775) = 72618475 / 391
LCM(7429,9775) = 185725
Lets's calculate GCF of 808,957
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185725/1
Therefore the LCM of Fractions 7429/808,9775/957 is 185725
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 808,957 . The biggest common factor number is the GCF number.
So the greatest common factor 808,957 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 7429/808, 9775/957?
Answer: LCM of Numerators as per given numbers 7429/808, 9775/957 is
LCM of Numerators i.e. for 7429,9775 is 185725
GCF of denominators i.e. for 808,957 is 1.
Thus, LCM of Fractions is 185725.Finally, LCM of Fractions for 7429/808, 9775/957 is 185725.