Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1243/185, 6197/5772 quickly i.e. 7702871/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1243/185, 6197/5772 is 7702871/37.
LCM(1243/185, 6197/5772) = 7702871/37
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1243/185,6197/5772
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 1243,6197
Least Common Multiple of Numerators i.e. LCM of 1243,6197 is 7702871.
GCF of Denominators means GCF of 185,5772 as per the given fractions.
GCF of 185,5772 is 37 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1243,6197
Given numbers has no common factors except 1. So, there LCM is their product i.e 7702871
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 1243,6197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1243,6197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1243,6197) x common factors =1 x 1 = 1
LCM(1243,6197) = ( 1243 × 6197 ) / 1
LCM(1243,6197) = 7702871 / 1
LCM(1243,6197) = 7702871
Lets's calculate GCF of 185,5772
37 | 185, 5772 |
5, 156 |
∴ So the GCF of the given numbers is 37 = 37
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7702871/37
Therefore the LCM of Fractions 1243/185,6197/5772 is 7702871/37
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 5772
List of positive integer factors of 5772 that divides 5772 without a remainder.
1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772
Greatest Common Factor
We found the factors 185,5772 . The biggest common factor number is the GCF number.
So the greatest common factor 185,5772 is 37.
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 1243/185, 6197/5772?
Answer: LCM of Numerators as per given numbers 1243/185, 6197/5772 is
LCM of Numerators i.e. for 1243,6197 is 7702871
GCF of denominators i.e. for 185,5772 is 37.
Thus, LCM of Fractions is 7702871/37.Finally, LCM of Fractions for 1243/185, 6197/5772 is 7702871/37.