Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 400/37, 247/8399 quickly i.e. 98800/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 400/37, 247/8399 is 98800/37.
LCM(400/37, 247/8399) = 98800/37
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 400/37,247/8399
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 400,247
Least Common Multiple of Numerators i.e. LCM of 400,247 is 98800.
GCF of Denominators means GCF of 37,8399 as per the given fractions.
GCF of 37,8399 is 37 as it is the largest common factor for these numbers.
Lets's calculate LCM of 400,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 98800
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 400,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(400,247) x common factors =1 x 1 = 1
LCM(400,247) = ( 400 × 247 ) / 1
LCM(400,247) = 98800 / 1
LCM(400,247) = 98800
Lets's calculate GCF of 37,8399
37 | 37, 8399 |
1, 227 |
∴ So the GCF of the given numbers is 37 = 37
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98800/37
Therefore the LCM of Fractions 400/37,247/8399 is 98800/37
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 8399
List of positive integer factors of 8399 that divides 8399 without a remainder.
1,37,227,8399
Greatest Common Factor
We found the factors 37,8399 . The biggest common factor number is the GCF number.
So the greatest common factor 37,8399 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 400/37, 247/8399?
Answer: LCM of Numerators as per given numbers 400/37, 247/8399 is
LCM of Numerators i.e. for 400,247 is 98800
GCF of denominators i.e. for 37,8399 is 37.
Thus, LCM of Fractions is 98800/37.Finally, LCM of Fractions for 400/37, 247/8399 is 98800/37.