Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 798/940, 525/659, 255/626 quickly i.e. 339150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 798/940, 525/659, 255/626 is 339150.
LCM(798/940, 525/659, 255/626) = 339150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 798/940,525/659,255/626
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 798,525,255
Least Common Multiple of Numerators i.e. LCM of 798,525,255 is 339150.
GCF of Denominators means GCF of 940,659,626 as per the given fractions.
GCF of 940,659,626 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 798,525,255
3 | 798, 525, 255 |
5 | 266, 175, 85 |
7 | 266, 35, 17 |
38, 5, 17 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 38 x 5 x 17 = 339150
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 798,525,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,525,255) = 3
common factors(in case of two or more numbers have common factors) = 105
GCF(798,525,255) x common factors =3 x 105 = 315
LCM(798,525,255) = ( 798 × 525 × 255 ) / 315
LCM(798,525,255) = 106832250 / 315
LCM(798,525,255) = 339150
Lets's calculate GCF of 940,659,626
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339150/1
Therefore the LCM of Fractions 798/940,525/659,255/626 is 339150
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 940,659,626 . The biggest common factor number is the GCF number.
So the greatest common factor 940,659,626 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 798/940, 525/659, 255/626?
Answer: LCM of Numerators as per given numbers 798/940, 525/659, 255/626 is
LCM of Numerators i.e. for 798,525,255 is 339150
GCF of denominators i.e. for 940,659,626 is 1.
Thus, LCM of Fractions is 339150.Finally, LCM of Fractions for 798/940, 525/659, 255/626 is 339150.