LCM of 321, 792, 986, 404, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 792, 986, 404, 803 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, 986, 404, 803. So, keep reading to learn more.
Given numbers are 321,792,986,404,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,792,986,404,803 is 308035033416.
Find LCM of 321,792,986,404,803 with Prime Factorization
| 2 | 321, 792, 986, 404, 803 |
| 2 | 321, 396, 493, 202, 803 |
| 3 | 321, 198, 493, 101, 803 |
| 11 | 107, 66, 493, 101, 803 |
| 107, 6, 493, 101, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 107 x 6 x 493 x 101 x 73 = 308035033416
Therefore, the lowest common multiple of 321,792,986,404,803 is 308035033416.
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 986 x 404 x 803 = 81321248821824
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
986 : 1, 2, 17, 29, 34, 58, 493, 986
404 : 1, 2, 4, 101, 202, 404
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,792,986,404,803, is 1.
Now, the common factors can be found like this.
321:3x 107
792:2x 2x 2x 3x 3x 11
986:2x 17x 29
404:2x 2x 101
803:11x 73
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 81321248821824/(1x264)
LCM = 81321248821824/264
LCM = 308035033416
Thus, we can understand that the LCM of 321,792,986,404,803 is 308035033416.
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FAQs on LCM of 321, 792, 986, 404, 803
1. What is the LCM of 321, 792, 986, 404, 803?
Answer: LCM of 321, 792, 986, 404, 803 is 308035033416.
2. How to calculate the LCM of 321, 792, 986, 404, 803?
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, 986, 404, 803.
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}.