LCM of 973, 352, 646, 817, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 352, 646, 817, 583 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 973, 352, 646, 817, 583. So, keep reading to learn more.
Given numbers are 973,352,646,817,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,352,646,817,583 is 252117128032.
Find LCM of 973,352,646,817,583 with Prime Factorization
| 2 | 973, 352, 646, 817, 583 |
| 11 | 973, 176, 323, 817, 583 |
| 19 | 973, 16, 323, 817, 53 |
| 973, 16, 17, 43, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 973 x 16 x 17 x 43 x 53 = 252117128032
Therefore, the lowest common multiple of 973,352,646,817,583 is 252117128032.
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.
973 x 352 x 646 x 817 x 583 = 105384959517376
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.
973 : 1, 7, 139, 973
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
646 : 1, 2, 17, 19, 34, 38, 323, 646
817 : 1, 19, 43, 817
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,352,646,817,583, is 1.
Now, the common factors can be found like this.
973:7x 139
352:2x 2x 2x 2x 2x 11
646:2x 17x 19
817:19x 43
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 19 = 418
Therefore, the value for common factors is 418.
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 = 105384959517376/(1x418)
LCM = 105384959517376/418
LCM = 252117128032
Thus, we can understand that the LCM of 973,352,646,817,583 is 252117128032.
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FAQs on LCM of 973, 352, 646, 817, 583
1. What is the LCM of 973, 352, 646, 817, 583?
Answer: LCM of 973, 352, 646, 817, 583 is 252117128032.
2. How to calculate the LCM of 973, 352, 646, 817, 583?
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 973, 352, 646, 817, 583.
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}.