Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/246, 817/116, 305/848 quickly i.e. 3488590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/246, 817/116, 305/848 is 3488590.
LCM(28/246, 817/116, 305/848) = 3488590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/246,817/116,305/848
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 28,817,305
Least Common Multiple of Numerators i.e. LCM of 28,817,305 is 6977180.
GCF of Denominators means GCF of 246,116,848 as per the given fractions.
GCF of 246,116,848 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,817,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 6977180
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 28,817,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,817,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,817,305) x common factors =1 x 1 = 1
LCM(28,817,305) = ( 28 × 817 × 305 ) / 1
LCM(28,817,305) = 6977180 / 1
LCM(28,817,305) = 6977180
Lets's calculate GCF of 246,116,848
2 | 246, 116, 848 |
123, 58, 424 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6977180/2
Therefore the LCM of Fractions 28/246,817/116,305/848 is 3488590
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 246,116,848 . The biggest common factor number is the GCF number.
So the greatest common factor 246,116,848 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 28/246, 817/116, 305/848?
Answer: LCM of Numerators as per given numbers 28/246, 817/116, 305/848 is
LCM of Numerators i.e. for 28,817,305 is 6977180
GCF of denominators i.e. for 246,116,848 is 2.
Thus, LCM of Fractions is 3488590.Finally, LCM of Fractions for 28/246, 817/116, 305/848 is 3488590.