Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 231/18, 750/57, 735/916 quickly i.e. 404250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 231/18, 750/57, 735/916 is 404250.
LCM(231/18, 750/57, 735/916) = 404250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 231/18,750/57,735/916
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 231,750,735
Least Common Multiple of Numerators i.e. LCM of 231,750,735 is 404250.
GCF of Denominators means GCF of 18,57,916 as per the given fractions.
GCF of 18,57,916 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 231,750,735
3 | 231, 750, 735 |
5 | 77, 250, 245 |
7 | 77, 50, 49 |
11, 50, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 11 x 50 x 7 = 404250
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 231,750,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,750,735) = 3
common factors(in case of two or more numbers have common factors) = 105
GCF(231,750,735) x common factors =3 x 105 = 315
LCM(231,750,735) = ( 231 × 750 × 735 ) / 315
LCM(231,750,735) = 127338750 / 315
LCM(231,750,735) = 404250
Lets's calculate GCF of 18,57,916
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404250/1
Therefore the LCM of Fractions 231/18,750/57,735/916 is 404250
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Greatest Common Factor
We found the factors 18,57,916 . The biggest common factor number is the GCF number.
So the greatest common factor 18,57,916 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 231/18, 750/57, 735/916?
Answer: LCM of Numerators as per given numbers 231/18, 750/57, 735/916 is
LCM of Numerators i.e. for 231,750,735 is 404250
GCF of denominators i.e. for 18,57,916 is 1.
Thus, LCM of Fractions is 404250.Finally, LCM of Fractions for 231/18, 750/57, 735/916 is 404250.