LCM of 816, 912, 448, 414, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 912, 448, 414, 893 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 816, 912, 448, 414, 893. So, keep reading to learn more.
Given numbers are 816,912,448,414,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,912,448,414,893 is 1407825216.
Find LCM of 816,912,448,414,893 with Prime Factorization
| 2 | 816, 912, 448, 414, 893 |
| 2 | 408, 456, 224, 207, 893 |
| 2 | 204, 228, 112, 207, 893 |
| 2 | 102, 114, 56, 207, 893 |
| 3 | 51, 57, 28, 207, 893 |
| 19 | 17, 19, 28, 69, 893 |
| 17, 1, 28, 69, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 17 x 1 x 28 x 69 x 47 = 1407825216
Therefore, the lowest common multiple of 816,912,448,414,893 is 1407825216.
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.
816 x 912 x 448 x 414 x 893 = 123257913311232
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,912,448,414,893, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
912:2x 2x 2x 2x 3x 19
448:2x 2x 2x 2x 2x 2x 7
414:2x 3x 3x 23
893:19x 47
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 3x 3x 19 = 87552
Therefore, the value for common factors is 87552.
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 = 123257913311232/(1x87552)
LCM = 123257913311232/87552
LCM = 1407825216
Thus, we can understand that the LCM of 816,912,448,414,893 is 1407825216.
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FAQs on LCM of 816, 912, 448, 414, 893
1. What is the LCM of 816, 912, 448, 414, 893?
Answer: LCM of 816, 912, 448, 414, 893 is 1407825216.
2. How to calculate the LCM of 816, 912, 448, 414, 893?
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 816, 912, 448, 414, 893.
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}.