Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6692/823, 6134/6621 quickly i.e. 20524364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6692/823, 6134/6621 is 20524364.
LCM(6692/823, 6134/6621) = 20524364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6692/823,6134/6621
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 6692,6134
Least Common Multiple of Numerators i.e. LCM of 6692,6134 is 20524364.
GCF of Denominators means GCF of 823,6621 as per the given fractions.
GCF of 823,6621 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6692,6134
2 | 6692, 6134 |
3346, 3067 |
∴ So the LCM of the given numbers is 2 x 3346 x 3067 = 20524364
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 6692,6134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6692,6134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6692,6134) x common factors =2 x 1 = 2
LCM(6692,6134) = ( 6692 × 6134 ) / 2
LCM(6692,6134) = 41048728 / 2
LCM(6692,6134) = 20524364
Lets's calculate GCF of 823,6621
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20524364/1
Therefore the LCM of Fractions 6692/823,6134/6621 is 20524364
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Factors of 6621
List of positive integer factors of 6621 that divides 6621 without a remainder.
1,3,2207,6621
Greatest Common Factor
We found the factors 823,6621 . The biggest common factor number is the GCF number.
So the greatest common factor 823,6621 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 6692/823, 6134/6621?
Answer: LCM of Numerators as per given numbers 6692/823, 6134/6621 is
LCM of Numerators i.e. for 6692,6134 is 20524364
GCF of denominators i.e. for 823,6621 is 1.
Thus, LCM of Fractions is 20524364.Finally, LCM of Fractions for 6692/823, 6134/6621 is 20524364.