Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 628/29, 428/44, 315/910 quickly i.e. 21166740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 628/29, 428/44, 315/910 is 21166740.
LCM(628/29, 428/44, 315/910) = 21166740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 628/29,428/44,315/910
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 628,428,315
Least Common Multiple of Numerators i.e. LCM of 628,428,315 is 21166740.
GCF of Denominators means GCF of 29,44,910 as per the given fractions.
GCF of 29,44,910 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 628,428,315
2 | 628, 428, 315 |
2 | 314, 214, 315 |
157, 107, 315 |
∴ So the LCM of the given numbers is 2 x 2 x 157 x 107 x 315 = 21166740
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 628,428,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,428,315) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(628,428,315) x common factors =1 x 4 = 4
LCM(628,428,315) = ( 628 × 428 × 315 ) / 4
LCM(628,428,315) = 84666960 / 4
LCM(628,428,315) = 21166740
Lets's calculate GCF of 29,44,910
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21166740/1
Therefore the LCM of Fractions 628/29,428/44,315/910 is 21166740
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 29,44,910 . The biggest common factor number is the GCF number.
So the greatest common factor 29,44,910 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 628/29, 428/44, 315/910?
Answer: LCM of Numerators as per given numbers 628/29, 428/44, 315/910 is
LCM of Numerators i.e. for 628,428,315 is 21166740
GCF of denominators i.e. for 29,44,910 is 1.
Thus, LCM of Fractions is 21166740.Finally, LCM of Fractions for 628/29, 428/44, 315/910 is 21166740.