LCM of 286, 308, 489, 460, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 308, 489, 460, 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 286, 308, 489, 460, 784. So, keep reading to learn more.
Given numbers are 286,308,489,460,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,308,489,460,784 is 6304618320.
Find LCM of 286,308,489,460,784 with Prime Factorization
| 2 | 286, 308, 489, 460, 784 |
| 2 | 143, 154, 489, 230, 392 |
| 7 | 143, 77, 489, 115, 196 |
| 11 | 143, 11, 489, 115, 28 |
| 13, 1, 489, 115, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 13 x 1 x 489 x 115 x 28 = 6304618320
Therefore, the lowest common multiple of 286,308,489,460,784 is 6304618320.
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.
286 x 308 x 489 x 460 x 784 = 15534579540480
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
489 : 1, 3, 163, 489
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 286,308,489,460,784, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
308:2x 2x 7x 11
489:3x 163
460:2x 2x 5x 23
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 2x 7x 11 = 2464
Therefore, the value for common factors is 2464.
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 = 15534579540480/(1x2464)
LCM = 15534579540480/2464
LCM = 6304618320
Thus, we can understand that the LCM of 286,308,489,460,784 is 6304618320.
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FAQs on LCM of 286, 308, 489, 460, 784
1. What is the LCM of 286, 308, 489, 460, 784?
Answer: LCM of 286, 308, 489, 460, 784 is 6304618320.
2. How to calculate the LCM of 286, 308, 489, 460, 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 286, 308, 489, 460, 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}.