LCM of 864, 628, 604, 667, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 628, 604, 667, 782 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 864, 628, 604, 667, 782. So, keep reading to learn more.
Given numbers are 864,628,604,667,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,628,604,667,782 is 232255013472.
Find LCM of 864,628,604,667,782 with Prime Factorization
| 2 | 864, 628, 604, 667, 782 |
| 2 | 432, 314, 302, 667, 391 |
| 23 | 216, 157, 151, 667, 391 |
| 216, 157, 151, 29, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 216 x 157 x 151 x 29 x 17 = 232255013472
Therefore, the lowest common multiple of 864,628,604,667,782 is 232255013472.
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.
864 x 628 x 604 x 667 x 782 = 170939689915392
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
628 : 1, 2, 4, 157, 314, 628
604 : 1, 2, 4, 151, 302, 604
667 : 1, 23, 29, 667
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,628,604,667,782, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
628:2x 2x 157
604:2x 2x 151
667:23x 29
782:2x 17x 23
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 23 = 736
Therefore, the value for common factors is 736.
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 = 170939689915392/(1x736)
LCM = 170939689915392/736
LCM = 232255013472
Thus, we can understand that the LCM of 864,628,604,667,782 is 232255013472.
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FAQs on LCM of 864, 628, 604, 667, 782
1. What is the LCM of 864, 628, 604, 667, 782?
Answer: LCM of 864, 628, 604, 667, 782 is 232255013472.
2. How to calculate the LCM of 864, 628, 604, 667, 782?
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 864, 628, 604, 667, 782.
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}.