Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/35, 540/75, 717/45 quickly i.e. 180684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/35, 540/75, 717/45 is 180684.
LCM(7/35, 540/75, 717/45) = 180684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/35,540/75,717/45
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 7,540,717
Least Common Multiple of Numerators i.e. LCM of 7,540,717 is 903420.
GCF of Denominators means GCF of 35,75,45 as per the given fractions.
GCF of 35,75,45 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,540,717
3 | 7, 540, 717 |
7, 180, 239 |
∴ So the LCM of the given numbers is 3 x 7 x 180 x 239 = 903420
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 7,540,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,540,717) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(7,540,717) x common factors =1 x 3 = 3
LCM(7,540,717) = ( 7 × 540 × 717 ) / 3
LCM(7,540,717) = 2710260 / 3
LCM(7,540,717) = 903420
Lets's calculate GCF of 35,75,45
5 | 35, 75, 45 |
7, 15, 9 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 903420/5
Therefore the LCM of Fractions 7/35,540/75,717/45 is 180684
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Greatest Common Factor
We found the factors 35,75,45 . The biggest common factor number is the GCF number.
So the greatest common factor 35,75,45 is 5.
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 7/35, 540/75, 717/45?
Answer: LCM of Numerators as per given numbers 7/35, 540/75, 717/45 is
LCM of Numerators i.e. for 7,540,717 is 903420
GCF of denominators i.e. for 35,75,45 is 5.
Thus, LCM of Fractions is 180684.Finally, LCM of Fractions for 7/35, 540/75, 717/45 is 180684.