Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 440/171, 935/610, 424/763 quickly i.e. 396440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 440/171, 935/610, 424/763 is 396440.
LCM(440/171, 935/610, 424/763) = 396440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 440/171,935/610,424/763
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 440,935,424
Least Common Multiple of Numerators i.e. LCM of 440,935,424 is 396440.
GCF of Denominators means GCF of 171,610,763 as per the given fractions.
GCF of 171,610,763 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 440,935,424
2 | 440, 935, 424 |
2 | 220, 935, 212 |
2 | 110, 935, 106 |
5 | 55, 935, 53 |
11 | 11, 187, 53 |
1, 17, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 1 x 17 x 53 = 396440
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 440,935,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,935,424) = 1
common factors(in case of two or more numbers have common factors) = 440
GCF(440,935,424) x common factors =1 x 440 = 440
LCM(440,935,424) = ( 440 × 935 × 424 ) / 440
LCM(440,935,424) = 174433600 / 440
LCM(440,935,424) = 396440
Lets's calculate GCF of 171,610,763
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396440/1
Therefore the LCM of Fractions 440/171,935/610,424/763 is 396440
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Greatest Common Factor
We found the factors 171,610,763 . The biggest common factor number is the GCF number.
So the greatest common factor 171,610,763 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 440/171, 935/610, 424/763?
Answer: LCM of Numerators as per given numbers 440/171, 935/610, 424/763 is
LCM of Numerators i.e. for 440,935,424 is 396440
GCF of denominators i.e. for 171,610,763 is 1.
Thus, LCM of Fractions is 396440.Finally, LCM of Fractions for 440/171, 935/610, 424/763 is 396440.