Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 544/858, 439/976, 726/760 quickly i.e. 43345104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 544/858, 439/976, 726/760 is 43345104.
LCM(544/858, 439/976, 726/760) = 43345104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 544/858,439/976,726/760
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 544,439,726
Least Common Multiple of Numerators i.e. LCM of 544,439,726 is 86690208.
GCF of Denominators means GCF of 858,976,760 as per the given fractions.
GCF of 858,976,760 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 544,439,726
2 | 544, 439, 726 |
272, 439, 363 |
∴ So the LCM of the given numbers is 2 x 272 x 439 x 363 = 86690208
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 544,439,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,439,726) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(544,439,726) x common factors =1 x 2 = 2
LCM(544,439,726) = ( 544 × 439 × 726 ) / 2
LCM(544,439,726) = 173380416 / 2
LCM(544,439,726) = 86690208
Lets's calculate GCF of 858,976,760
2 | 858, 976, 760 |
429, 488, 380 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86690208/2
Therefore the LCM of Fractions 544/858,439/976,726/760 is 43345104
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 858,976,760 . The biggest common factor number is the GCF number.
So the greatest common factor 858,976,760 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 544/858, 439/976, 726/760?
Answer: LCM of Numerators as per given numbers 544/858, 439/976, 726/760 is
LCM of Numerators i.e. for 544,439,726 is 86690208
GCF of denominators i.e. for 858,976,760 is 2.
Thus, LCM of Fractions is 43345104.Finally, LCM of Fractions for 544/858, 439/976, 726/760 is 43345104.