Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/84, 72/54, 388/521 quickly i.e. 27936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/84, 72/54, 388/521 is 27936.
LCM(32/84, 72/54, 388/521) = 27936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/84,72/54,388/521
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 32,72,388
Least Common Multiple of Numerators i.e. LCM of 32,72,388 is 27936.
GCF of Denominators means GCF of 84,54,521 as per the given fractions.
GCF of 84,54,521 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,72,388
2 | 32, 72, 388 |
2 | 16, 36, 194 |
2 | 8, 18, 97 |
4, 9, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 9 x 97 = 27936
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 32,72,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,72,388) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(32,72,388) x common factors =4 x 8 = 32
LCM(32,72,388) = ( 32 × 72 × 388 ) / 32
LCM(32,72,388) = 893952 / 32
LCM(32,72,388) = 27936
Lets's calculate GCF of 84,54,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27936/1
Therefore the LCM of Fractions 32/84,72/54,388/521 is 27936
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
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 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 84,54,521 . The biggest common factor number is the GCF number.
So the greatest common factor 84,54,521 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 32/84, 72/54, 388/521?
Answer: LCM of Numerators as per given numbers 32/84, 72/54, 388/521 is
LCM of Numerators i.e. for 32,72,388 is 27936
GCF of denominators i.e. for 84,54,521 is 1.
Thus, LCM of Fractions is 27936.Finally, LCM of Fractions for 32/84, 72/54, 388/521 is 27936.