Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 972/96, 751/72, 282/27 quickly i.e. 11436228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 972/96, 751/72, 282/27 is 11436228.
LCM(972/96, 751/72, 282/27) = 11436228
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 972/96,751/72,282/27
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 972,751,282
Least Common Multiple of Numerators i.e. LCM of 972,751,282 is 34308684.
GCF of Denominators means GCF of 96,72,27 as per the given fractions.
GCF of 96,72,27 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 972,751,282
2 | 972, 751, 282 |
3 | 486, 751, 141 |
162, 751, 47 |
∴ So the LCM of the given numbers is 2 x 3 x 162 x 751 x 47 = 34308684
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 972,751,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,751,282) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(972,751,282) x common factors =1 x 6 = 6
LCM(972,751,282) = ( 972 × 751 × 282 ) / 6
LCM(972,751,282) = 205852104 / 6
LCM(972,751,282) = 34308684
Lets's calculate GCF of 96,72,27
3 | 96, 72, 27 |
32, 24, 9 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34308684/3
Therefore the LCM of Fractions 972/96,751/72,282/27 is 11436228
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
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 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Greatest Common Factor
We found the factors 96,72,27 . The biggest common factor number is the GCF number.
So the greatest common factor 96,72,27 is 3.
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 972/96, 751/72, 282/27?
Answer: LCM of Numerators as per given numbers 972/96, 751/72, 282/27 is
LCM of Numerators i.e. for 972,751,282 is 34308684
GCF of denominators i.e. for 96,72,27 is 3.
Thus, LCM of Fractions is 11436228.Finally, LCM of Fractions for 972/96, 751/72, 282/27 is 11436228.