LCM of 616, 801, 289, 792, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 801, 289, 792, 720 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 616, 801, 289, 792, 720. So, keep reading to learn more.
Given numbers are 616,801,289,792,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,801,289,792,720 is 1425972240.
Find LCM of 616,801,289,792,720 with Prime Factorization
| 2 | 616, 801, 289, 792, 720 |
| 2 | 308, 801, 289, 396, 360 |
| 2 | 154, 801, 289, 198, 180 |
| 3 | 77, 801, 289, 99, 90 |
| 3 | 77, 267, 289, 33, 30 |
| 11 | 77, 89, 289, 11, 10 |
| 7, 89, 289, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 7 x 89 x 289 x 1 x 10 = 1425972240
Therefore, the lowest common multiple of 616,801,289,792,720 is 1425972240.
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.
616 x 801 x 289 x 792 x 720 = 81314641013760
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
801 : 1, 3, 9, 89, 267, 801
289 : 1, 17, 289
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,801,289,792,720, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
801:3x 3x 89
289:17x 17
792:2x 2x 2x 3x 3x 11
720:2x 2x 2x 2x 3x 3x 5
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 3x 3x 3x 3x 11 = 57024
Therefore, the value for common factors is 57024.
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 = 81314641013760/(1x57024)
LCM = 81314641013760/57024
LCM = 1425972240
Thus, we can understand that the LCM of 616,801,289,792,720 is 1425972240.
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FAQs on LCM of 616, 801, 289, 792, 720
1. What is the LCM of 616, 801, 289, 792, 720?
Answer: LCM of 616, 801, 289, 792, 720 is 1425972240.
2. How to calculate the LCM of 616, 801, 289, 792, 720?
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 616, 801, 289, 792, 720.
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}.