LCM of 816, 398, 518, 628, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 398, 518, 628, 807 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, 398, 518, 628, 807. So, keep reading to learn more.
Given numbers are 816,398,518,628,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,398,518,628,807 is 1776212539248.
Find LCM of 816,398,518,628,807 with Prime Factorization
| 2 | 816, 398, 518, 628, 807 |
| 2 | 408, 199, 259, 314, 807 |
| 3 | 204, 199, 259, 157, 807 |
| 68, 199, 259, 157, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 68 x 199 x 259 x 157 x 269 = 1776212539248
Therefore, the lowest common multiple of 816,398,518,628,807 is 1776212539248.
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 398 x 518 x 628 x 807 = 85258201883904
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
398 : 1, 2, 199, 398
518 : 1, 2, 7, 14, 37, 74, 259, 518
628 : 1, 2, 4, 157, 314, 628
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,398,518,628,807, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
398:2x 199
518:2x 7x 37
628:2x 2x 157
807:3x 269
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 3 = 48
Therefore, the value for common factors is 48.
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 = 85258201883904/(1x48)
LCM = 85258201883904/48
LCM = 1776212539248
Thus, we can understand that the LCM of 816,398,518,628,807 is 1776212539248.
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FAQs on LCM of 816, 398, 518, 628, 807
1. What is the LCM of 816, 398, 518, 628, 807?
Answer: LCM of 816, 398, 518, 628, 807 is 1776212539248.
2. How to calculate the LCM of 816, 398, 518, 628, 807?
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, 398, 518, 628, 807.
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}.