LCM of 585, 554, 431, 690, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 554, 431, 690, 322 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 585, 554, 431, 690, 322. So, keep reading to learn more.
Given numbers are 585,554,431,690,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,554,431,690,322 is 22488929190.
Find LCM of 585,554,431,690,322 with Prime Factorization
| 2 | 585, 554, 431, 690, 322 |
| 3 | 585, 277, 431, 345, 161 |
| 5 | 195, 277, 431, 115, 161 |
| 23 | 39, 277, 431, 23, 161 |
| 39, 277, 431, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 39 x 277 x 431 x 1 x 7 = 22488929190
Therefore, the lowest common multiple of 585,554,431,690,322 is 22488929190.
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.
585 x 554 x 431 x 690 x 322 = 31034722282200
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
554 : 1, 2, 277, 554
431 : 1, 431
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,554,431,690,322, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
554:2x 277
431:431
690:2x 3x 5x 23
322:2x 7x 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 3x 5x 23 = 1380
Therefore, the value for common factors is 1380.
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 = 31034722282200/(1x1380)
LCM = 31034722282200/1380
LCM = 22488929190
Thus, we can understand that the LCM of 585,554,431,690,322 is 22488929190.
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FAQs on LCM of 585, 554, 431, 690, 322
1. What is the LCM of 585, 554, 431, 690, 322?
Answer: LCM of 585, 554, 431, 690, 322 is 22488929190.
2. How to calculate the LCM of 585, 554, 431, 690, 322?
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 585, 554, 431, 690, 322.
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}.