Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/824, 6562/4806 quickly i.e. 150926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/824, 6562/4806 is 150926.
LCM(92/824, 6562/4806) = 150926
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/824,6562/4806
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 92,6562
Least Common Multiple of Numerators i.e. LCM of 92,6562 is 301852.
GCF of Denominators means GCF of 824,4806 as per the given fractions.
GCF of 824,4806 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,6562
2 | 92, 6562 |
46, 3281 |
∴ So the LCM of the given numbers is 2 x 46 x 3281 = 301852
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 92,6562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,6562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(92,6562) x common factors =2 x 1 = 2
LCM(92,6562) = ( 92 × 6562 ) / 2
LCM(92,6562) = 603704 / 2
LCM(92,6562) = 301852
Lets's calculate GCF of 824,4806
2 | 824, 4806 |
412, 2403 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301852/2
Therefore the LCM of Fractions 92/824,6562/4806 is 150926
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 4806
List of positive integer factors of 4806 that divides 4806 without a remainder.
1,2,3,6,9,18,27,54,89,178,267,534,801,1602,2403,4806
Greatest Common Factor
We found the factors 824,4806 . The biggest common factor number is the GCF number.
So the greatest common factor 824,4806 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 92/824, 6562/4806?
Answer: LCM of Numerators as per given numbers 92/824, 6562/4806 is
LCM of Numerators i.e. for 92,6562 is 301852
GCF of denominators i.e. for 824,4806 is 2.
Thus, LCM of Fractions is 150926.Finally, LCM of Fractions for 92/824, 6562/4806 is 150926.