Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/84, 39/72, 27/950 quickly i.e. 16146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/84, 39/72, 27/950 is 16146.
LCM(92/84, 39/72, 27/950) = 16146
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/84,39/72,27/950
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 92,39,27
Least Common Multiple of Numerators i.e. LCM of 92,39,27 is 32292.
GCF of Denominators means GCF of 84,72,950 as per the given fractions.
GCF of 84,72,950 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,39,27
3 | 92, 39, 27 |
92, 13, 9 |
∴ So the LCM of the given numbers is 3 x 92 x 13 x 9 = 32292
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 92,39,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,39,27) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(92,39,27) x common factors =1 x 3 = 3
LCM(92,39,27) = ( 92 × 39 × 27 ) / 3
LCM(92,39,27) = 96876 / 3
LCM(92,39,27) = 32292
Lets's calculate GCF of 84,72,950
2 | 84, 72, 950 |
42, 36, 475 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32292/2
Therefore the LCM of Fractions 92/84,39/72,27/950 is 16146
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 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 84,72,950 . The biggest common factor number is the GCF number.
So the greatest common factor 84,72,950 is 2.
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 92/84, 39/72, 27/950?
Answer: LCM of Numerators as per given numbers 92/84, 39/72, 27/950 is
LCM of Numerators i.e. for 92,39,27 is 32292
GCF of denominators i.e. for 84,72,950 is 2.
Thus, LCM of Fractions is 16146.Finally, LCM of Fractions for 92/84, 39/72, 27/950 is 16146.