LCM of 448, 489, 415, 771, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 489, 415, 771, 784 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 448, 489, 415, 771, 784. So, keep reading to learn more.
Given numbers are 448,489,415,771,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,489,415,771,784 is 163555869120.
Find LCM of 448,489,415,771,784 with Prime Factorization
| 2 | 448, 489, 415, 771, 784 |
| 2 | 224, 489, 415, 771, 392 |
| 2 | 112, 489, 415, 771, 196 |
| 2 | 56, 489, 415, 771, 98 |
| 3 | 28, 489, 415, 771, 49 |
| 7 | 28, 163, 415, 257, 49 |
| 4, 163, 415, 257, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 4 x 163 x 415 x 257 x 7 = 163555869120
Therefore, the lowest common multiple of 448,489,415,771,784 is 163555869120.
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.
448 x 489 x 415 x 771 x 784 = 54954772024320
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
489 : 1, 3, 163, 489
415 : 1, 5, 83, 415
771 : 1, 3, 257, 771
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,489,415,771,784, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
489:3x 163
415:5x 83
771:3x 257
784:2x 2x 2x 2x 7x 7
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 7 = 336
Therefore, the value for common factors is 336.
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 = 54954772024320/(1x336)
LCM = 54954772024320/336
LCM = 163555869120
Thus, we can understand that the LCM of 448,489,415,771,784 is 163555869120.
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FAQs on LCM of 448, 489, 415, 771, 784
1. What is the LCM of 448, 489, 415, 771, 784?
Answer: LCM of 448, 489, 415, 771, 784 is 163555869120.
2. How to calculate the LCM of 448, 489, 415, 771, 784?
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 448, 489, 415, 771, 784.
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}.