Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 301/118, 916/670, 799/374 quickly i.e. 110148542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 301/118, 916/670, 799/374 is 110148542.
LCM(301/118, 916/670, 799/374) = 110148542
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 301/118,916/670,799/374
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 301,916,799
Least Common Multiple of Numerators i.e. LCM of 301,916,799 is 220297084.
GCF of Denominators means GCF of 118,670,374 as per the given fractions.
GCF of 118,670,374 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 301,916,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 220297084
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 301,916,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,916,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,916,799) x common factors =1 x 1 = 1
LCM(301,916,799) = ( 301 × 916 × 799 ) / 1
LCM(301,916,799) = 220297084 / 1
LCM(301,916,799) = 220297084
Lets's calculate GCF of 118,670,374
2 | 118, 670, 374 |
59, 335, 187 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220297084/2
Therefore the LCM of Fractions 301/118,916/670,799/374 is 110148542
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 118,670,374 . The biggest common factor number is the GCF number.
So the greatest common factor 118,670,374 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 301/118, 916/670, 799/374?
Answer: LCM of Numerators as per given numbers 301/118, 916/670, 799/374 is
LCM of Numerators i.e. for 301,916,799 is 220297084
GCF of denominators i.e. for 118,670,374 is 2.
Thus, LCM of Fractions is 110148542.Finally, LCM of Fractions for 301/118, 916/670, 799/374 is 110148542.