Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/321, 57/111, 148/566 quickly i.e. 8436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/321, 57/111, 148/566 is 8436.
LCM(57/321, 57/111, 148/566) = 8436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/321,57/111,148/566
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 57,57,148
Least Common Multiple of Numerators i.e. LCM of 57,57,148 is 8436.
GCF of Denominators means GCF of 321,111,566 as per the given fractions.
GCF of 321,111,566 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,57,148
3 | 57, 57, 148 |
19 | 19, 19, 148 |
1, 1, 148 |
∴ So the LCM of the given numbers is 3 x 19 x 1 x 1 x 148 = 8436
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 57,57,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,57,148) = 1
common factors(in case of two or more numbers have common factors) = 57
GCF(57,57,148) x common factors =1 x 57 = 57
LCM(57,57,148) = ( 57 × 57 × 148 ) / 57
LCM(57,57,148) = 480852 / 57
LCM(57,57,148) = 8436
Lets's calculate GCF of 321,111,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8436/1
Therefore the LCM of Fractions 57/321,57/111,148/566 is 8436
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 321,111,566 . The biggest common factor number is the GCF number.
So the greatest common factor 321,111,566 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 57/321, 57/111, 148/566?
Answer: LCM of Numerators as per given numbers 57/321, 57/111, 148/566 is
LCM of Numerators i.e. for 57,57,148 is 8436
GCF of denominators i.e. for 321,111,566 is 1.
Thus, LCM of Fractions is 8436.Finally, LCM of Fractions for 57/321, 57/111, 148/566 is 8436.