Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8065/84, 4422/826 quickly i.e. 35663430/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8065/84, 4422/826 is 35663430/14.
LCM(8065/84, 4422/826) = 35663430/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8065/84,4422/826
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 8065,4422
Least Common Multiple of Numerators i.e. LCM of 8065,4422 is 35663430.
GCF of Denominators means GCF of 84,826 as per the given fractions.
GCF of 84,826 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8065,4422
Given numbers has no common factors except 1. So, there LCM is their product i.e 35663430
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 8065,4422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8065,4422) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8065,4422) x common factors =1 x 1 = 1
LCM(8065,4422) = ( 8065 × 4422 ) / 1
LCM(8065,4422) = 35663430 / 1
LCM(8065,4422) = 35663430
Lets's calculate GCF of 84,826
2 | 84, 826 |
7 | 42, 413 |
6, 59 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35663430/14
Therefore the LCM of Fractions 8065/84,4422/826 is 35663430/14
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 84,826 . The biggest common factor number is the GCF number.
So the greatest common factor 84,826 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 8065/84, 4422/826?
Answer: LCM of Numerators as per given numbers 8065/84, 4422/826 is
LCM of Numerators i.e. for 8065,4422 is 35663430
GCF of denominators i.e. for 84,826 is 14.
Thus, LCM of Fractions is 35663430/14.Finally, LCM of Fractions for 8065/84, 4422/826 is 35663430/14.