LCM of 288, 345, 519, 396, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 345, 519, 396, 598 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 288, 345, 519, 396, 598. So, keep reading to learn more.
Given numbers are 288,345,519,396,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,345,519,396,598 is 819355680.
Find LCM of 288,345,519,396,598 with Prime Factorization
| 2 | 288, 345, 519, 396, 598 |
| 2 | 144, 345, 519, 198, 299 |
| 3 | 72, 345, 519, 99, 299 |
| 3 | 24, 115, 173, 33, 299 |
| 23 | 8, 115, 173, 11, 299 |
| 8, 5, 173, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 8 x 5 x 173 x 11 x 13 = 819355680
Therefore, the lowest common multiple of 288,345,519,396,598 is 819355680.
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.
288 x 345 x 519 x 396 x 598 = 12211677054720
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
345 : 1, 3, 5, 15, 23, 69, 115, 345
519 : 1, 3, 173, 519
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,345,519,396,598, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
345:3x 5x 23
519:3x 173
396:2x 2x 3x 3x 11
598:2x 13x 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 2x 3x 3x 3x 3x 23 = 14904
Therefore, the value for common factors is 14904.
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 = 12211677054720/(1x14904)
LCM = 12211677054720/14904
LCM = 819355680
Thus, we can understand that the LCM of 288,345,519,396,598 is 819355680.
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FAQs on LCM of 288, 345, 519, 396, 598
1. What is the LCM of 288, 345, 519, 396, 598?
Answer: LCM of 288, 345, 519, 396, 598 is 819355680.
2. How to calculate the LCM of 288, 345, 519, 396, 598?
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 288, 345, 519, 396, 598.
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}.