LCM of 784, 427, 315, 940, 566
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 427, 315, 940, 566 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 784, 427, 315, 940, 566. So, keep reading to learn more.
Given numbers are 784,427,315,940,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,427,315,940,566 is 28624816080.
Find LCM of 784,427,315,940,566 with Prime Factorization
| 2 | 784, 427, 315, 940, 566 |
| 2 | 392, 427, 315, 470, 283 |
| 5 | 196, 427, 315, 235, 283 |
| 7 | 196, 427, 63, 47, 283 |
| 28, 61, 9, 47, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 28 x 61 x 9 x 47 x 283 = 28624816080
Therefore, the lowest common multiple of 784,427,315,940,566 is 28624816080.
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.
784 x 427 x 315 x 940 x 566 = 56104639516800
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
427 : 1, 7, 61, 427
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,427,315,940,566, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
427:7x 61
315:3x 3x 5x 7
940:2x 2x 5x 47
566:2x 283
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 5x 7x 7 = 1960
Therefore, the value for common factors is 1960.
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 = 56104639516800/(1x1960)
LCM = 56104639516800/1960
LCM = 28624816080
Thus, we can understand that the LCM of 784,427,315,940,566 is 28624816080.
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FAQs on LCM of 784, 427, 315, 940, 566
1. What is the LCM of 784, 427, 315, 940, 566?
Answer: LCM of 784, 427, 315, 940, 566 is 28624816080.
2. How to calculate the LCM of 784, 427, 315, 940, 566?
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 784, 427, 315, 940, 566.
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}.