Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/320, 58/747, 905/730 quickly i.e. 209960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/320, 58/747, 905/730 is 209960.
LCM(40/320, 58/747, 905/730) = 209960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/320,58/747,905/730
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 40,58,905
Least Common Multiple of Numerators i.e. LCM of 40,58,905 is 209960.
GCF of Denominators means GCF of 320,747,730 as per the given fractions.
GCF of 320,747,730 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,58,905
2 | 40, 58, 905 |
5 | 20, 29, 905 |
4, 29, 181 |
∴ So the LCM of the given numbers is 2 x 5 x 4 x 29 x 181 = 209960
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 40,58,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,58,905) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(40,58,905) x common factors =1 x 10 = 10
LCM(40,58,905) = ( 40 × 58 × 905 ) / 10
LCM(40,58,905) = 2099600 / 10
LCM(40,58,905) = 209960
Lets's calculate GCF of 320,747,730
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209960/1
Therefore the LCM of Fractions 40/320,58/747,905/730 is 209960
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 320,747,730 . The biggest common factor number is the GCF number.
So the greatest common factor 320,747,730 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 40/320, 58/747, 905/730?
Answer: LCM of Numerators as per given numbers 40/320, 58/747, 905/730 is
LCM of Numerators i.e. for 40,58,905 is 209960
GCF of denominators i.e. for 320,747,730 is 1.
Thus, LCM of Fractions is 209960.Finally, LCM of Fractions for 40/320, 58/747, 905/730 is 209960.