Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/240, 90/734, 734/746 quickly i.e. 49545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/240, 90/734, 734/746 is 49545.
LCM(54/240, 90/734, 734/746) = 49545
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/240,90/734,734/746
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 54,90,734
Least Common Multiple of Numerators i.e. LCM of 54,90,734 is 99090.
GCF of Denominators means GCF of 240,734,746 as per the given fractions.
GCF of 240,734,746 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,90,734
2 | 54, 90, 734 |
3 | 27, 45, 367 |
3 | 9, 15, 367 |
3, 5, 367 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 367 = 99090
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 54,90,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,90,734) = 2
common factors(in case of two or more numbers have common factors) = 18
GCF(54,90,734) x common factors =2 x 18 = 36
LCM(54,90,734) = ( 54 × 90 × 734 ) / 36
LCM(54,90,734) = 3567240 / 36
LCM(54,90,734) = 99090
Lets's calculate GCF of 240,734,746
2 | 240, 734, 746 |
120, 367, 373 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99090/2
Therefore the LCM of Fractions 54/240,90/734,734/746 is 49545
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Greatest Common Factor
We found the factors 240,734,746 . The biggest common factor number is the GCF number.
So the greatest common factor 240,734,746 is 2.
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 54/240, 90/734, 734/746?
Answer: LCM of Numerators as per given numbers 54/240, 90/734, 734/746 is
LCM of Numerators i.e. for 54,90,734 is 99090
GCF of denominators i.e. for 240,734,746 is 2.
Thus, LCM of Fractions is 49545.Finally, LCM of Fractions for 54/240, 90/734, 734/746 is 49545.