Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2237/497, 6275/2198 quickly i.e. 14037175/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2237/497, 6275/2198 is 14037175/7.
LCM(2237/497, 6275/2198) = 14037175/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2237/497,6275/2198
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 2237,6275
Least Common Multiple of Numerators i.e. LCM of 2237,6275 is 14037175.
GCF of Denominators means GCF of 497,2198 as per the given fractions.
GCF of 497,2198 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2237,6275
Given numbers has no common factors except 1. So, there LCM is their product i.e 14037175
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 2237,6275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2237,6275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2237,6275) x common factors =1 x 1 = 1
LCM(2237,6275) = ( 2237 × 6275 ) / 1
LCM(2237,6275) = 14037175 / 1
LCM(2237,6275) = 14037175
Lets's calculate GCF of 497,2198
7 | 497, 2198 |
71, 314 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14037175/7
Therefore the LCM of Fractions 2237/497,6275/2198 is 14037175/7
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 2198
List of positive integer factors of 2198 that divides 2198 without a remainder.
1,2,7,14,157,314,1099,2198
Greatest Common Factor
We found the factors 497,2198 . The biggest common factor number is the GCF number.
So the greatest common factor 497,2198 is 7.
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 2237/497, 6275/2198?
Answer: LCM of Numerators as per given numbers 2237/497, 6275/2198 is
LCM of Numerators i.e. for 2237,6275 is 14037175
GCF of denominators i.e. for 497,2198 is 7.
Thus, LCM of Fractions is 14037175/7.Finally, LCM of Fractions for 2237/497, 6275/2198 is 14037175/7.