Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/768, 57/559, 265/654 quickly i.e. 120840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/768, 57/559, 265/654 is 120840.
LCM(24/768, 57/559, 265/654) = 120840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/768,57/559,265/654
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 24,57,265
Least Common Multiple of Numerators i.e. LCM of 24,57,265 is 120840.
GCF of Denominators means GCF of 768,559,654 as per the given fractions.
GCF of 768,559,654 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,57,265
3 | 24, 57, 265 |
8, 19, 265 |
∴ So the LCM of the given numbers is 3 x 8 x 19 x 265 = 120840
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 24,57,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,57,265) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(24,57,265) x common factors =1 x 3 = 3
LCM(24,57,265) = ( 24 × 57 × 265 ) / 3
LCM(24,57,265) = 362520 / 3
LCM(24,57,265) = 120840
Lets's calculate GCF of 768,559,654
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120840/1
Therefore the LCM of Fractions 24/768,57/559,265/654 is 120840
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 768,559,654 . The biggest common factor number is the GCF number.
So the greatest common factor 768,559,654 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 24/768, 57/559, 265/654?
Answer: LCM of Numerators as per given numbers 24/768, 57/559, 265/654 is
LCM of Numerators i.e. for 24,57,265 is 120840
GCF of denominators i.e. for 768,559,654 is 1.
Thus, LCM of Fractions is 120840.Finally, LCM of Fractions for 24/768, 57/559, 265/654 is 120840.