Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/222, 6197/1900 quickly i.e. 365623/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/222, 6197/1900 is 365623/2.
LCM(59/222, 6197/1900) = 365623/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/222,6197/1900
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 59,6197
Least Common Multiple of Numerators i.e. LCM of 59,6197 is 365623.
GCF of Denominators means GCF of 222,1900 as per the given fractions.
GCF of 222,1900 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,6197
Given numbers has no common factors except 1. So, there LCM is their product i.e 365623
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 59,6197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,6197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,6197) x common factors =1 x 1 = 1
LCM(59,6197) = ( 59 × 6197 ) / 1
LCM(59,6197) = 365623 / 1
LCM(59,6197) = 365623
Lets's calculate GCF of 222,1900
2 | 222, 1900 |
111, 950 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365623/2
Therefore the LCM of Fractions 59/222,6197/1900 is 365623/2
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 1900
List of positive integer factors of 1900 that divides 1900 without a remainder.
1,2,4,5,10,19,20,25,38,50,76,95,100,190,380,475,950,1900
Greatest Common Factor
We found the factors 222,1900 . The biggest common factor number is the GCF number.
So the greatest common factor 222,1900 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 59/222, 6197/1900?
Answer: LCM of Numerators as per given numbers 59/222, 6197/1900 is
LCM of Numerators i.e. for 59,6197 is 365623
GCF of denominators i.e. for 222,1900 is 2.
Thus, LCM of Fractions is 365623/2.Finally, LCM of Fractions for 59/222, 6197/1900 is 365623/2.