LCM of 817, 284, 414, 781, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 817, 284, 414, 781, 704 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 817, 284, 414, 781, 704. So, keep reading to learn more.
Given numbers are 817,284,414,781,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 817,284,414,781,704 is 8453244096.
Find LCM of 817,284,414,781,704 with Prime Factorization
| 2 | 817, 284, 414, 781, 704 |
| 2 | 817, 142, 207, 781, 352 |
| 11 | 817, 71, 207, 781, 176 |
| 71 | 817, 71, 207, 71, 16 |
| 817, 1, 207, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 71 x 817 x 1 x 207 x 1 x 16 = 8453244096
Therefore, the lowest common multiple of 817,284,414,781,704 is 8453244096.
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.
817 x 284 x 414 x 781 x 704 = 52815869111808
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.
817 : 1, 19, 43, 817
284 : 1, 2, 4, 71, 142, 284
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
781 : 1, 11, 71, 781
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,284,414,781,704, is 1.
Now, the common factors can be found like this.
817:19x 43
284:2x 2x 71
414:2x 3x 3x 23
781:11x 71
704:2x 2x 2x 2x 2x 2x 11
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 11x 71 = 6248
Therefore, the value for common factors is 6248.
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 = 52815869111808/(1x6248)
LCM = 52815869111808/6248
LCM = 8453244096
Thus, we can understand that the LCM of 817,284,414,781,704 is 8453244096.
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FAQs on LCM of 817, 284, 414, 781, 704
1. What is the LCM of 817, 284, 414, 781, 704?
Answer: LCM of 817, 284, 414, 781, 704 is 8453244096.
2. How to calculate the LCM of 817, 284, 414, 781, 704?
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 817, 284, 414, 781, 704.
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}.