Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/59, 95/597, 27/252 quickly i.e. 2565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/59, 95/597, 27/252 is 2565.
LCM(1/59, 95/597, 27/252) = 2565
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/59,95/597,27/252
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 1,95,27
Least Common Multiple of Numerators i.e. LCM of 1,95,27 is 2565.
GCF of Denominators means GCF of 59,597,252 as per the given fractions.
GCF of 59,597,252 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,95,27
Given numbers has no common factors except 1. So, there LCM is their product i.e 2565
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 1,95,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,95,27) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,95,27) x common factors =1 x 1 = 1
LCM(1,95,27) = ( 1 × 95 × 27 ) / 1
LCM(1,95,27) = 2565 / 1
LCM(1,95,27) = 2565
Lets's calculate GCF of 59,597,252
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2565/1
Therefore the LCM of Fractions 1/59,95/597,27/252 is 2565
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 59,597,252 . The biggest common factor number is the GCF number.
So the greatest common factor 59,597,252 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 1/59, 95/597, 27/252?
Answer: LCM of Numerators as per given numbers 1/59, 95/597, 27/252 is
LCM of Numerators i.e. for 1,95,27 is 2565
GCF of denominators i.e. for 59,597,252 is 1.
Thus, LCM of Fractions is 2565.Finally, LCM of Fractions for 1/59, 95/597, 27/252 is 2565.