Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 827/555, 3422/416 quickly i.e. 2829994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 827/555, 3422/416 is 2829994.
LCM(827/555, 3422/416) = 2829994
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 827/555,3422/416
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 827,3422
Least Common Multiple of Numerators i.e. LCM of 827,3422 is 2829994.
GCF of Denominators means GCF of 555,416 as per the given fractions.
GCF of 555,416 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 827,3422
Given numbers has no common factors except 1. So, there LCM is their product i.e 2829994
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 827,3422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,3422) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,3422) x common factors =1 x 1 = 1
LCM(827,3422) = ( 827 × 3422 ) / 1
LCM(827,3422) = 2829994 / 1
LCM(827,3422) = 2829994
Lets's calculate GCF of 555,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2829994/1
Therefore the LCM of Fractions 827/555,3422/416 is 2829994
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 555,416 . The biggest common factor number is the GCF number.
So the greatest common factor 555,416 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 827/555, 3422/416?
Answer: LCM of Numerators as per given numbers 827/555, 3422/416 is
LCM of Numerators i.e. for 827,3422 is 2829994
GCF of denominators i.e. for 555,416 is 1.
Thus, LCM of Fractions is 2829994.Finally, LCM of Fractions for 827/555, 3422/416 is 2829994.