Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 246/268, 557/994, 621/910 quickly i.e. 14181777 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 246/268, 557/994, 621/910 is 14181777.
LCM(246/268, 557/994, 621/910) = 14181777
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 246/268,557/994,621/910
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 246,557,621
Least Common Multiple of Numerators i.e. LCM of 246,557,621 is 28363554.
GCF of Denominators means GCF of 268,994,910 as per the given fractions.
GCF of 268,994,910 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 246,557,621
3 | 246, 557, 621 |
82, 557, 207 |
∴ So the LCM of the given numbers is 3 x 82 x 557 x 207 = 28363554
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 246,557,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,557,621) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(246,557,621) x common factors =1 x 3 = 3
LCM(246,557,621) = ( 246 × 557 × 621 ) / 3
LCM(246,557,621) = 85090662 / 3
LCM(246,557,621) = 28363554
Lets's calculate GCF of 268,994,910
2 | 268, 994, 910 |
134, 497, 455 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28363554/2
Therefore the LCM of Fractions 246/268,557/994,621/910 is 14181777
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
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 268,994,910 . The biggest common factor number is the GCF number.
So the greatest common factor 268,994,910 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 246/268, 557/994, 621/910?
Answer: LCM of Numerators as per given numbers 246/268, 557/994, 621/910 is
LCM of Numerators i.e. for 246,557,621 is 28363554
GCF of denominators i.e. for 268,994,910 is 2.
Thus, LCM of Fractions is 14181777.Finally, LCM of Fractions for 246/268, 557/994, 621/910 is 14181777.