Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5292/222, 9683/633 quickly i.e. 17080812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5292/222, 9683/633 is 17080812.
LCM(5292/222, 9683/633) = 17080812
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5292/222,9683/633
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 5292,9683
Least Common Multiple of Numerators i.e. LCM of 5292,9683 is 51242436.
GCF of Denominators means GCF of 222,633 as per the given fractions.
GCF of 222,633 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5292,9683
Given numbers has no common factors except 1. So, there LCM is their product i.e 51242436
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 5292,9683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5292,9683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5292,9683) x common factors =1 x 1 = 1
LCM(5292,9683) = ( 5292 × 9683 ) / 1
LCM(5292,9683) = 51242436 / 1
LCM(5292,9683) = 51242436
Lets's calculate GCF of 222,633
3 | 222, 633 |
74, 211 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51242436/3
Therefore the LCM of Fractions 5292/222,9683/633 is 17080812
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 222,633 . The biggest common factor number is the GCF number.
So the greatest common factor 222,633 is 3.
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 5292/222, 9683/633?
Answer: LCM of Numerators as per given numbers 5292/222, 9683/633 is
LCM of Numerators i.e. for 5292,9683 is 51242436
GCF of denominators i.e. for 222,633 is 3.
Thus, LCM of Fractions is 17080812.Finally, LCM of Fractions for 5292/222, 9683/633 is 17080812.