Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/182, 30/874, 237/411 quickly i.e. 73470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/182, 30/874, 237/411 is 73470.
LCM(31/182, 30/874, 237/411) = 73470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/182,30/874,237/411
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 31,30,237
Least Common Multiple of Numerators i.e. LCM of 31,30,237 is 73470.
GCF of Denominators means GCF of 182,874,411 as per the given fractions.
GCF of 182,874,411 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,30,237
3 | 31, 30, 237 |
31, 10, 79 |
∴ So the LCM of the given numbers is 3 x 31 x 10 x 79 = 73470
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 31,30,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,30,237) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(31,30,237) x common factors =1 x 3 = 3
LCM(31,30,237) = ( 31 × 30 × 237 ) / 3
LCM(31,30,237) = 220410 / 3
LCM(31,30,237) = 73470
Lets's calculate GCF of 182,874,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73470/1
Therefore the LCM of Fractions 31/182,30/874,237/411 is 73470
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 182,874,411 . The biggest common factor number is the GCF number.
So the greatest common factor 182,874,411 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 31/182, 30/874, 237/411?
Answer: LCM of Numerators as per given numbers 31/182, 30/874, 237/411 is
LCM of Numerators i.e. for 31,30,237 is 73470
GCF of denominators i.e. for 182,874,411 is 1.
Thus, LCM of Fractions is 73470.Finally, LCM of Fractions for 31/182, 30/874, 237/411 is 73470.