Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/299, 54/744, 120/294 quickly i.e. 1080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/299, 54/744, 120/294 is 1080.
LCM(60/299, 54/744, 120/294) = 1080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/299,54/744,120/294
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 60,54,120
Least Common Multiple of Numerators i.e. LCM of 60,54,120 is 1080.
GCF of Denominators means GCF of 299,744,294 as per the given fractions.
GCF of 299,744,294 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,54,120
2 | 60, 54, 120 |
2 | 30, 27, 60 |
3 | 15, 27, 30 |
5 | 5, 9, 10 |
1, 9, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 9 x 2 = 1080
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 60,54,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,54,120) = 6
common factors(in case of two or more numbers have common factors) = 60
GCF(60,54,120) x common factors =6 x 60 = 360
LCM(60,54,120) = ( 60 × 54 × 120 ) / 360
LCM(60,54,120) = 388800 / 360
LCM(60,54,120) = 1080
Lets's calculate GCF of 299,744,294
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1080/1
Therefore the LCM of Fractions 60/299,54/744,120/294 is 1080
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 299,744,294 . The biggest common factor number is the GCF number.
So the greatest common factor 299,744,294 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 60/299, 54/744, 120/294?
Answer: LCM of Numerators as per given numbers 60/299, 54/744, 120/294 is
LCM of Numerators i.e. for 60,54,120 is 1080
GCF of denominators i.e. for 299,744,294 is 1.
Thus, LCM of Fractions is 1080.Finally, LCM of Fractions for 60/299, 54/744, 120/294 is 1080.