Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 237/82, 578/16, 948/899 quickly i.e. 273972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 237/82, 578/16, 948/899 is 273972.
LCM(237/82, 578/16, 948/899) = 273972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 237/82,578/16,948/899
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 237,578,948
Least Common Multiple of Numerators i.e. LCM of 237,578,948 is 273972.
GCF of Denominators means GCF of 82,16,899 as per the given fractions.
GCF of 82,16,899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 237,578,948
2 | 237, 578, 948 |
3 | 237, 289, 474 |
79 | 79, 289, 158 |
1, 289, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 1 x 289 x 2 = 273972
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 237,578,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,578,948) = 1
common factors(in case of two or more numbers have common factors) = 474
GCF(237,578,948) x common factors =1 x 474 = 474
LCM(237,578,948) = ( 237 × 578 × 948 ) / 474
LCM(237,578,948) = 129862728 / 474
LCM(237,578,948) = 273972
Lets's calculate GCF of 82,16,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273972/1
Therefore the LCM of Fractions 237/82,578/16,948/899 is 273972
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 82,16,899 . The biggest common factor number is the GCF number.
So the greatest common factor 82,16,899 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 237/82, 578/16, 948/899?
Answer: LCM of Numerators as per given numbers 237/82, 578/16, 948/899 is
LCM of Numerators i.e. for 237,578,948 is 273972
GCF of denominators i.e. for 82,16,899 is 1.
Thus, LCM of Fractions is 273972.Finally, LCM of Fractions for 237/82, 578/16, 948/899 is 273972.