Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 409/886, 7043/386 quickly i.e. 2880587/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 409/886, 7043/386 is 2880587/2.
LCM(409/886, 7043/386) = 2880587/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 409/886,7043/386
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 409,7043
Least Common Multiple of Numerators i.e. LCM of 409,7043 is 2880587.
GCF of Denominators means GCF of 886,386 as per the given fractions.
GCF of 886,386 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 409,7043
Given numbers has no common factors except 1. So, there LCM is their product i.e 2880587
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 409,7043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,7043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,7043) x common factors =1 x 1 = 1
LCM(409,7043) = ( 409 × 7043 ) / 1
LCM(409,7043) = 2880587 / 1
LCM(409,7043) = 2880587
Lets's calculate GCF of 886,386
2 | 886, 386 |
443, 193 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2880587/2
Therefore the LCM of Fractions 409/886,7043/386 is 2880587/2
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 886,386 . The biggest common factor number is the GCF number.
So the greatest common factor 886,386 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 409/886, 7043/386?
Answer: LCM of Numerators as per given numbers 409/886, 7043/386 is
LCM of Numerators i.e. for 409,7043 is 2880587
GCF of denominators i.e. for 886,386 is 2.
Thus, LCM of Fractions is 2880587/2.Finally, LCM of Fractions for 409/886, 7043/386 is 2880587/2.