Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/368, 38/299, 498/841 quickly i.e. 75696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/368, 38/299, 498/841 is 75696.
LCM(48/368, 38/299, 498/841) = 75696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/368,38/299,498/841
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 48,38,498
Least Common Multiple of Numerators i.e. LCM of 48,38,498 is 75696.
GCF of Denominators means GCF of 368,299,841 as per the given fractions.
GCF of 368,299,841 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,38,498
2 | 48, 38, 498 |
3 | 24, 19, 249 |
8, 19, 83 |
∴ So the LCM of the given numbers is 2 x 3 x 8 x 19 x 83 = 75696
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 48,38,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,38,498) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(48,38,498) x common factors =2 x 6 = 12
LCM(48,38,498) = ( 48 × 38 × 498 ) / 12
LCM(48,38,498) = 908352 / 12
LCM(48,38,498) = 75696
Lets's calculate GCF of 368,299,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75696/1
Therefore the LCM of Fractions 48/368,38/299,498/841 is 75696
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors 368,299,841 . The biggest common factor number is the GCF number.
So the greatest common factor 368,299,841 is 1.
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 48/368, 38/299, 498/841?
Answer: LCM of Numerators as per given numbers 48/368, 38/299, 498/841 is
LCM of Numerators i.e. for 48,38,498 is 75696
GCF of denominators i.e. for 368,299,841 is 1.
Thus, LCM of Fractions is 75696.Finally, LCM of Fractions for 48/368, 38/299, 498/841 is 75696.