Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/95, 54/93, 82/66, 30/531 quickly i.e. 55350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/95, 54/93, 82/66, 30/531 is 55350.
LCM(75/95, 54/93, 82/66, 30/531) = 55350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/95,54/93,82/66,30/531
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 75,54,82,30
Least Common Multiple of Numerators i.e. LCM of 75,54,82,30 is 55350.
GCF of Denominators means GCF of 95,93,66,531 as per the given fractions.
GCF of 95,93,66,531 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,54,82,30
2 | 75, 54, 82, 30 |
3 | 75, 27, 41, 15 |
5 | 25, 9, 41, 5 |
1, 9, 41, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 9 x 41 x 5 = 55350
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 75,54,82,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,54,82,30) = 1
common factors(in case of two or more numbers have common factors) = 180
GCF(75,54,82,30) x common factors =1 x 180 = 180
LCM(75,54,82,30) = ( 75 × 54 × 82 × 30 ) / 180
LCM(75,54,82,30) = 9963000 / 180
LCM(75,54,82,30) = 55350
Lets's calculate GCF of 95,93,66,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55350/1
Therefore the LCM of Fractions 75/95,54/93,82/66,30/531 is 55350
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 95,93,66,531 . The biggest common factor number is the GCF number.
So the greatest common factor 95,93,66,531 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 75/95, 54/93, 82/66, 30/531?
Answer: LCM of Numerators as per given numbers 75/95, 54/93, 82/66, 30/531 is
LCM of Numerators i.e. for 75,54,82,30 is 55350
GCF of denominators i.e. for 95,93,66,531 is 1.
Thus, LCM of Fractions is 55350.Finally, LCM of Fractions for 75/95, 54/93, 82/66, 30/531 is 55350.