Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 199/921, 933/824 quickly i.e. 185667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 199/921, 933/824 is 185667.
LCM(199/921, 933/824) = 185667
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 199/921,933/824
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 199,933
Least Common Multiple of Numerators i.e. LCM of 199,933 is 185667.
GCF of Denominators means GCF of 921,824 as per the given fractions.
GCF of 921,824 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 199,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 185667
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 199,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,933) x common factors =1 x 1 = 1
LCM(199,933) = ( 199 × 933 ) / 1
LCM(199,933) = 185667 / 1
LCM(199,933) = 185667
Lets's calculate GCF of 921,824
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185667/1
Therefore the LCM of Fractions 199/921,933/824 is 185667
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 921,824 . The biggest common factor number is the GCF number.
So the greatest common factor 921,824 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 199/921, 933/824?
Answer: LCM of Numerators as per given numbers 199/921, 933/824 is
LCM of Numerators i.e. for 199,933 is 185667
GCF of denominators i.e. for 921,824 is 1.
Thus, LCM of Fractions is 185667.Finally, LCM of Fractions for 199/921, 933/824 is 185667.