LCM of 486, 78, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 78, 972 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 486, 78, 972. So, keep reading to learn more.
Given numbers are 486,78,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,78,972 is 12636.
Find LCM of 486,78,972 with Prime Factorization
| 2 | 486, 78, 972 |
| 3 | 243, 39, 486 |
| 3 | 81, 13, 162 |
| 3 | 27, 13, 54 |
| 3 | 9, 13, 18 |
| 3 | 3, 13, 6 |
| 1, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 3 x 1 x 13 x 2 = 12636
Therefore, the lowest common multiple of 486,78,972 is 12636.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
486 x 78 x 972 = 36846576
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
78 : 1, 2, 3, 6, 13, 26, 39, 78
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,78,972, is 6.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
78:2x 3x 13
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 36846576/(6x486)
LCM = 36846576/2916
LCM = 12636
Thus, we can understand that the LCM of 486,78,972 is 12636.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 486, 78, 972
1. What is the LCM of 486, 78, 972?
Answer: LCM of 486, 78, 972 is 12636.
2. How to calculate the LCM of 486, 78, 972?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 486, 78, 972.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.