Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 329/794, 979/687, 715/735 quickly i.e. 20935915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 329/794, 979/687, 715/735 is 20935915.
LCM(329/794, 979/687, 715/735) = 20935915
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 329/794,979/687,715/735
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 329,979,715
Least Common Multiple of Numerators i.e. LCM of 329,979,715 is 20935915.
GCF of Denominators means GCF of 794,687,735 as per the given fractions.
GCF of 794,687,735 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 329,979,715
11 | 329, 979, 715 |
329, 89, 65 |
∴ So the LCM of the given numbers is 11 x 329 x 89 x 65 = 20935915
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 329,979,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,979,715) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(329,979,715) x common factors =1 x 11 = 11
LCM(329,979,715) = ( 329 × 979 × 715 ) / 11
LCM(329,979,715) = 230295065 / 11
LCM(329,979,715) = 20935915
Lets's calculate GCF of 794,687,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20935915/1
Therefore the LCM of Fractions 329/794,979/687,715/735 is 20935915
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 794,687,735 . The biggest common factor number is the GCF number.
So the greatest common factor 794,687,735 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 329/794, 979/687, 715/735?
Answer: LCM of Numerators as per given numbers 329/794, 979/687, 715/735 is
LCM of Numerators i.e. for 329,979,715 is 20935915
GCF of denominators i.e. for 794,687,735 is 1.
Thus, LCM of Fractions is 20935915.Finally, LCM of Fractions for 329/794, 979/687, 715/735 is 20935915.