Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 240/66, 544/59, 578/679 quickly i.e. 138720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 240/66, 544/59, 578/679 is 138720.
LCM(240/66, 544/59, 578/679) = 138720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 240/66,544/59,578/679
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 240,544,578
Least Common Multiple of Numerators i.e. LCM of 240,544,578 is 138720.
GCF of Denominators means GCF of 66,59,679 as per the given fractions.
GCF of 66,59,679 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 240,544,578
2 | 240, 544, 578 |
2 | 120, 272, 289 |
2 | 60, 136, 289 |
2 | 30, 68, 289 |
17 | 15, 34, 289 |
15, 2, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 15 x 2 x 17 = 138720
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 240,544,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,544,578) = 2
common factors(in case of two or more numbers have common factors) = 272
GCF(240,544,578) x common factors =2 x 272 = 544
LCM(240,544,578) = ( 240 × 544 × 578 ) / 544
LCM(240,544,578) = 75463680 / 544
LCM(240,544,578) = 138720
Lets's calculate GCF of 66,59,679
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138720/1
Therefore the LCM of Fractions 240/66,544/59,578/679 is 138720
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Greatest Common Factor
We found the factors 66,59,679 . The biggest common factor number is the GCF number.
So the greatest common factor 66,59,679 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 240/66, 544/59, 578/679?
Answer: LCM of Numerators as per given numbers 240/66, 544/59, 578/679 is
LCM of Numerators i.e. for 240,544,578 is 138720
GCF of denominators i.e. for 66,59,679 is 1.
Thus, LCM of Fractions is 138720.Finally, LCM of Fractions for 240/66, 544/59, 578/679 is 138720.