LCM of 589, 424, 432, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 424, 432, 744 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 589, 424, 432, 744. So, keep reading to learn more.
Given numbers are 589,424,432,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,424,432,744 is 13485744.
Find LCM of 589,424,432,744 with Prime Factorization
| 2 | 589, 424, 432, 744 |
| 2 | 589, 212, 216, 372 |
| 2 | 589, 106, 108, 186 |
| 3 | 589, 53, 54, 93 |
| 31 | 589, 53, 18, 31 |
| 19, 53, 18, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 19 x 53 x 18 x 1 = 13485744
Therefore, the lowest common multiple of 589,424,432,744 is 13485744.
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.
589 x 424 x 432 x 744 = 80267148288
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.
589 : 1, 19, 31, 589
424 : 1, 2, 4, 8, 53, 106, 212, 424
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,424,432,744, is 1.
Now, the common factors can be found like this.
589:19x 31
424:2x 2x 2x 53
432:2x 2x 2x 2x 3x 3x 3
744:2x 2x 2x 3x 31
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 2x 3x 31 = 5952
Therefore, the value for common factors is 5952.
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 = 80267148288/(1x5952)
LCM = 80267148288/5952
LCM = 13485744
Thus, we can understand that the LCM of 589,424,432,744 is 13485744.
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FAQs on LCM of 589, 424, 432, 744
1. What is the LCM of 589, 424, 432, 744?
Answer: LCM of 589, 424, 432, 744 is 13485744.
2. How to calculate the LCM of 589, 424, 432, 744?
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 589, 424, 432, 744.
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}.