Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 299/940, 799/376 quickly i.e. 238901/188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 299/940, 799/376 is 238901/188.
LCM(299/940, 799/376) = 238901/188
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 299/940,799/376
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 299,799
Least Common Multiple of Numerators i.e. LCM of 299,799 is 238901.
GCF of Denominators means GCF of 940,376 as per the given fractions.
GCF of 940,376 is 188 as it is the largest common factor for these numbers.
Lets's calculate LCM of 299,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 238901
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 299,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,799) x common factors =1 x 1 = 1
LCM(299,799) = ( 299 × 799 ) / 1
LCM(299,799) = 238901 / 1
LCM(299,799) = 238901
Lets's calculate GCF of 940,376
2 | 940, 376 |
2 | 470, 188 |
47 | 235, 94 |
5, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 47 = 188
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238901/188
Therefore the LCM of Fractions 299/940,799/376 is 238901/188
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 940,376 . The biggest common factor number is the GCF number.
So the greatest common factor 940,376 is 188.
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 299/940, 799/376?
Answer: LCM of Numerators as per given numbers 299/940, 799/376 is
LCM of Numerators i.e. for 299,799 is 238901
GCF of denominators i.e. for 940,376 is 188.
Thus, LCM of Fractions is 238901/188.Finally, LCM of Fractions for 299/940, 799/376 is 238901/188.