Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8438/280, 9439/378 quickly i.e. 79646282/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8438/280, 9439/378 is 79646282/14.
LCM(8438/280, 9439/378) = 79646282/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8438/280,9439/378
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 8438,9439
Least Common Multiple of Numerators i.e. LCM of 8438,9439 is 79646282.
GCF of Denominators means GCF of 280,378 as per the given fractions.
GCF of 280,378 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8438,9439
Given numbers has no common factors except 1. So, there LCM is their product i.e 79646282
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 8438,9439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8438,9439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8438,9439) x common factors =1 x 1 = 1
LCM(8438,9439) = ( 8438 × 9439 ) / 1
LCM(8438,9439) = 79646282 / 1
LCM(8438,9439) = 79646282
Lets's calculate GCF of 280,378
2 | 280, 378 |
7 | 140, 189 |
20, 27 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79646282/14
Therefore the LCM of Fractions 8438/280,9439/378 is 79646282/14
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 280,378 . The biggest common factor number is the GCF number.
So the greatest common factor 280,378 is 14.
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 8438/280, 9439/378?
Answer: LCM of Numerators as per given numbers 8438/280, 9439/378 is
LCM of Numerators i.e. for 8438,9439 is 79646282
GCF of denominators i.e. for 280,378 is 14.
Thus, LCM of Fractions is 79646282/14.Finally, LCM of Fractions for 8438/280, 9439/378 is 79646282/14.