LCM of 584, 835, 864, 726, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 835, 864, 726, 336 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 584, 835, 864, 726, 336. So, keep reading to learn more.
Given numbers are 584,835,864,726,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,835,864,726,336 is 44607356640.
Find LCM of 584,835,864,726,336 with Prime Factorization
| 2 | 584, 835, 864, 726, 336 |
| 2 | 292, 835, 432, 363, 168 |
| 2 | 146, 835, 216, 363, 84 |
| 2 | 73, 835, 108, 363, 42 |
| 3 | 73, 835, 54, 363, 21 |
| 73, 835, 18, 121, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 73 x 835 x 18 x 121 x 7 = 44607356640
Therefore, the lowest common multiple of 584,835,864,726,336 is 44607356640.
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.
584 x 835 x 864 x 726 x 336 = 102775349698560
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
835 : 1, 5, 167, 835
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,835,864,726,336, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
835:5x 167
864:2x 2x 2x 2x 2x 3x 3x 3
726:2x 3x 11x 11
336:2x 2x 2x 2x 3x 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 2x 2x 2x 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 102775349698560/(1x2304)
LCM = 102775349698560/2304
LCM = 44607356640
Thus, we can understand that the LCM of 584,835,864,726,336 is 44607356640.
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FAQs on LCM of 584, 835, 864, 726, 336
1. What is the LCM of 584, 835, 864, 726, 336?
Answer: LCM of 584, 835, 864, 726, 336 is 44607356640.
2. How to calculate the LCM of 584, 835, 864, 726, 336?
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 584, 835, 864, 726, 336.
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}.