Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/790, 6692/4062 quickly i.e. 36806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/790, 6692/4062 is 36806.
LCM(44/790, 6692/4062) = 36806
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/790,6692/4062
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 44,6692
Least Common Multiple of Numerators i.e. LCM of 44,6692 is 73612.
GCF of Denominators means GCF of 790,4062 as per the given fractions.
GCF of 790,4062 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,6692
2 | 44, 6692 |
2 | 22, 3346 |
11, 1673 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 1673 = 73612
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 44,6692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,6692) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(44,6692) x common factors =4 x 1 = 4
LCM(44,6692) = ( 44 × 6692 ) / 4
LCM(44,6692) = 294448 / 4
LCM(44,6692) = 73612
Lets's calculate GCF of 790,4062
2 | 790, 4062 |
395, 2031 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73612/2
Therefore the LCM of Fractions 44/790,6692/4062 is 36806
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 4062
List of positive integer factors of 4062 that divides 4062 without a remainder.
1,2,3,6,677,1354,2031,4062
Greatest Common Factor
We found the factors 790,4062 . The biggest common factor number is the GCF number.
So the greatest common factor 790,4062 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 44/790, 6692/4062?
Answer: LCM of Numerators as per given numbers 44/790, 6692/4062 is
LCM of Numerators i.e. for 44,6692 is 73612
GCF of denominators i.e. for 790,4062 is 2.
Thus, LCM of Fractions is 36806.Finally, LCM of Fractions for 44/790, 6692/4062 is 36806.