LCM of 321, 792, 488, 716, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 792, 488, 716, 801 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 321, 792, 488, 716, 801. So, keep reading to learn more.
Given numbers are 321,792,488,716,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,792,488,716,801 is 82353456504.
Find LCM of 321,792,488,716,801 with Prime Factorization
| 2 | 321, 792, 488, 716, 801 |
| 2 | 321, 396, 244, 358, 801 |
| 2 | 321, 198, 122, 179, 801 |
| 3 | 321, 99, 61, 179, 801 |
| 3 | 107, 33, 61, 179, 267 |
| 107, 11, 61, 179, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 107 x 11 x 61 x 179 x 89 = 82353456504
Therefore, the lowest common multiple of 321,792,488,716,801 is 82353456504.
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.
321 x 792 x 488 x 716 x 801 = 71153386419456
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.
321 : 1, 3, 107, 321
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
488 : 1, 2, 4, 8, 61, 122, 244, 488
716 : 1, 2, 4, 179, 358, 716
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,792,488,716,801, is 1.
Now, the common factors can be found like this.
321:3x 107
792:2x 2x 2x 3x 3x 11
488:2x 2x 2x 61
716:2x 2x 179
801:3x 3x 89
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 71153386419456/(1x864)
LCM = 71153386419456/864
LCM = 82353456504
Thus, we can understand that the LCM of 321,792,488,716,801 is 82353456504.
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FAQs on LCM of 321, 792, 488, 716, 801
1. What is the LCM of 321, 792, 488, 716, 801?
Answer: LCM of 321, 792, 488, 716, 801 is 82353456504.
2. How to calculate the LCM of 321, 792, 488, 716, 801?
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 321, 792, 488, 716, 801.
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}.