LCM of 709, 864, 816, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 864, 816, 736 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 709, 864, 816, 736. So, keep reading to learn more.
Given numbers are 709,864,816,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,864,816,736 is 239517216.
Find LCM of 709,864,816,736 with Prime Factorization
| 2 | 709, 864, 816, 736 |
| 2 | 709, 432, 408, 368 |
| 2 | 709, 216, 204, 184 |
| 2 | 709, 108, 102, 92 |
| 2 | 709, 54, 51, 46 |
| 3 | 709, 27, 51, 23 |
| 709, 9, 17, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 709 x 9 x 17 x 23 = 239517216
Therefore, the lowest common multiple of 709,864,816,736 is 239517216.
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.
709 x 864 x 816 x 736 = 367898443776
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.
709 : 1, 709
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,864,816,736, is 1.
Now, the common factors can be found like this.
709:709
864:2x 2x 2x 2x 2x 3x 3x 3
816:2x 2x 2x 2x 3x 17
736:2x 2x 2x 2x 2x 23
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 2x 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 367898443776/(1x1536)
LCM = 367898443776/1536
LCM = 239517216
Thus, we can understand that the LCM of 709,864,816,736 is 239517216.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 709, 864, 816, 736
1. What is the LCM of 709, 864, 816, 736?
Answer: LCM of 709, 864, 816, 736 is 239517216.
2. How to calculate the LCM of 709, 864, 816, 736?
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 709, 864, 816, 736.
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}.