Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/54, 39/59, 22/12, 76/124 quickly i.e. 32604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/54, 39/59, 22/12, 76/124 is 32604.
LCM(57/54, 39/59, 22/12, 76/124) = 32604
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/54,39/59,22/12,76/124
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 57,39,22,76
Least Common Multiple of Numerators i.e. LCM of 57,39,22,76 is 32604.
GCF of Denominators means GCF of 54,59,12,124 as per the given fractions.
GCF of 54,59,12,124 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,39,22,76
2 | 57, 39, 22, 76 |
3 | 57, 39, 11, 38 |
19 | 19, 13, 11, 38 |
1, 13, 11, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 13 x 11 x 2 = 32604
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 57,39,22,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,39,22,76) = 1
common factors(in case of two or more numbers have common factors) = 114
GCF(57,39,22,76) x common factors =1 x 114 = 114
LCM(57,39,22,76) = ( 57 × 39 × 22 × 76 ) / 114
LCM(57,39,22,76) = 3716856 / 114
LCM(57,39,22,76) = 32604
Lets's calculate GCF of 54,59,12,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32604/1
Therefore the LCM of Fractions 57/54,39/59,22/12,76/124 is 32604
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 54,59,12,124 . The biggest common factor number is the GCF number.
So the greatest common factor 54,59,12,124 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 57/54, 39/59, 22/12, 76/124?
Answer: LCM of Numerators as per given numbers 57/54, 39/59, 22/12, 76/124 is
LCM of Numerators i.e. for 57,39,22,76 is 32604
GCF of denominators i.e. for 54,59,12,124 is 1.
Thus, LCM of Fractions is 32604.Finally, LCM of Fractions for 57/54, 39/59, 22/12, 76/124 is 32604.