Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/718, 934/591, 640/634 quickly i.e. 2689920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/718, 934/591, 640/634 is 2689920.
LCM(18/718, 934/591, 640/634) = 2689920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/718,934/591,640/634
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 18,934,640
Least Common Multiple of Numerators i.e. LCM of 18,934,640 is 2689920.
GCF of Denominators means GCF of 718,591,634 as per the given fractions.
GCF of 718,591,634 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,934,640
2 | 18, 934, 640 |
9, 467, 320 |
∴ So the LCM of the given numbers is 2 x 9 x 467 x 320 = 2689920
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 18,934,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,934,640) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(18,934,640) x common factors =2 x 2 = 4
LCM(18,934,640) = ( 18 × 934 × 640 ) / 4
LCM(18,934,640) = 10759680 / 4
LCM(18,934,640) = 2689920
Lets's calculate GCF of 718,591,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2689920/1
Therefore the LCM of Fractions 18/718,934/591,640/634 is 2689920
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 718,591,634 . The biggest common factor number is the GCF number.
So the greatest common factor 718,591,634 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 18/718, 934/591, 640/634?
Answer: LCM of Numerators as per given numbers 18/718, 934/591, 640/634 is
LCM of Numerators i.e. for 18,934,640 is 2689920
GCF of denominators i.e. for 718,591,634 is 1.
Thus, LCM of Fractions is 2689920.Finally, LCM of Fractions for 18/718, 934/591, 640/634 is 2689920.