LCM of 216, 810, 948, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 810, 948, 788 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 216, 810, 948, 788. So, keep reading to learn more.
Given numbers are 216,810,948,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,810,948,788 is 50424120.
Find LCM of 216,810,948,788 with Prime Factorization
| 2 | 216, 810, 948, 788 |
| 2 | 108, 405, 474, 394 |
| 3 | 54, 405, 237, 197 |
| 3 | 18, 135, 79, 197 |
| 3 | 6, 45, 79, 197 |
| 2, 15, 79, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 2 x 15 x 79 x 197 = 50424120
Therefore, the lowest common multiple of 216,810,948,788 is 50424120.
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.
216 x 810 x 948 x 788 = 130699319040
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
788 : 1, 2, 4, 197, 394, 788
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,810,948,788, is 2.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
810:2x 3x 3x 3x 3x 5
948:2x 2x 3x 79
788:2x 2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 130699319040/(2x1296)
LCM = 130699319040/2592
LCM = 50424120
Thus, we can understand that the LCM of 216,810,948,788 is 50424120.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 216, 810, 948, 788
1. What is the LCM of 216, 810, 948, 788?
Answer: LCM of 216, 810, 948, 788 is 50424120.
2. How to calculate the LCM of 216, 810, 948, 788?
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 216, 810, 948, 788.
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}.