Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/412, 1986/4045 quickly i.e. 27804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/412, 1986/4045 is 27804.
LCM(84/412, 1986/4045) = 27804
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/412,1986/4045
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 84,1986
Least Common Multiple of Numerators i.e. LCM of 84,1986 is 27804.
GCF of Denominators means GCF of 412,4045 as per the given fractions.
GCF of 412,4045 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,1986
2 | 84, 1986 |
3 | 42, 993 |
14, 331 |
∴ So the LCM of the given numbers is 2 x 3 x 14 x 331 = 27804
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 84,1986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,1986) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(84,1986) x common factors =6 x 1 = 6
LCM(84,1986) = ( 84 × 1986 ) / 6
LCM(84,1986) = 166824 / 6
LCM(84,1986) = 27804
Lets's calculate GCF of 412,4045
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27804/1
Therefore the LCM of Fractions 84/412,1986/4045 is 27804
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 4045
List of positive integer factors of 4045 that divides 4045 without a remainder.
1,5,809,4045
Greatest Common Factor
We found the factors 412,4045 . The biggest common factor number is the GCF number.
So the greatest common factor 412,4045 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 84/412, 1986/4045?
Answer: LCM of Numerators as per given numbers 84/412, 1986/4045 is
LCM of Numerators i.e. for 84,1986 is 27804
GCF of denominators i.e. for 412,4045 is 1.
Thus, LCM of Fractions is 27804.Finally, LCM of Fractions for 84/412, 1986/4045 is 27804.