Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/243, 802/621, 717/760 quickly i.e. 8050476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/243, 802/621, 717/760 is 8050476.
LCM(28/243, 802/621, 717/760) = 8050476
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/243,802/621,717/760
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 28,802,717
Least Common Multiple of Numerators i.e. LCM of 28,802,717 is 8050476.
GCF of Denominators means GCF of 243,621,760 as per the given fractions.
GCF of 243,621,760 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,802,717
2 | 28, 802, 717 |
14, 401, 717 |
∴ So the LCM of the given numbers is 2 x 14 x 401 x 717 = 8050476
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 28,802,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,802,717) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(28,802,717) x common factors =1 x 2 = 2
LCM(28,802,717) = ( 28 × 802 × 717 ) / 2
LCM(28,802,717) = 16100952 / 2
LCM(28,802,717) = 8050476
Lets's calculate GCF of 243,621,760
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8050476/1
Therefore the LCM of Fractions 28/243,802/621,717/760 is 8050476
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 243,621,760 . The biggest common factor number is the GCF number.
So the greatest common factor 243,621,760 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 28/243, 802/621, 717/760?
Answer: LCM of Numerators as per given numbers 28/243, 802/621, 717/760 is
LCM of Numerators i.e. for 28,802,717 is 8050476
GCF of denominators i.e. for 243,621,760 is 1.
Thus, LCM of Fractions is 8050476.Finally, LCM of Fractions for 28/243, 802/621, 717/760 is 8050476.