Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 933/203, 222/667 quickly i.e. 69042/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 933/203, 222/667 is 69042/29.
LCM(933/203, 222/667) = 69042/29
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 933/203,222/667
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 933,222
Least Common Multiple of Numerators i.e. LCM of 933,222 is 69042.
GCF of Denominators means GCF of 203,667 as per the given fractions.
GCF of 203,667 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 933,222
3 | 933, 222 |
311, 74 |
∴ So the LCM of the given numbers is 3 x 311 x 74 = 69042
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 933,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,222) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,222) x common factors =3 x 1 = 3
LCM(933,222) = ( 933 × 222 ) / 3
LCM(933,222) = 207126 / 3
LCM(933,222) = 69042
Lets's calculate GCF of 203,667
29 | 203, 667 |
7, 23 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69042/29
Therefore the LCM of Fractions 933/203,222/667 is 69042/29
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Greatest Common Factor
We found the factors 203,667 . The biggest common factor number is the GCF number.
So the greatest common factor 203,667 is 29.
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 933/203, 222/667?
Answer: LCM of Numerators as per given numbers 933/203, 222/667 is
LCM of Numerators i.e. for 933,222 is 69042
GCF of denominators i.e. for 203,667 is 29.
Thus, LCM of Fractions is 69042/29.Finally, LCM of Fractions for 933/203, 222/667 is 69042/29.