LCM of 592, 728, 642, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 728, 642, 720 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 592, 728, 642, 720. So, keep reading to learn more.
Given numbers are 592,728,642,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,728,642,720 is 259393680.
Find LCM of 592,728,642,720 with Prime Factorization
| 2 | 592, 728, 642, 720 |
| 2 | 296, 364, 321, 360 |
| 2 | 148, 182, 321, 180 |
| 2 | 74, 91, 321, 90 |
| 3 | 37, 91, 321, 45 |
| 37, 91, 107, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 37 x 91 x 107 x 15 = 259393680
Therefore, the lowest common multiple of 592,728,642,720 is 259393680.
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.
592 x 728 x 642 x 720 = 199214346240
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
642 : 1, 2, 3, 6, 107, 214, 321, 642
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,728,642,720, is 2.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
728:2x 2x 2x 7x 13
642:2x 3x 107
720:2x 2x 2x 2x 3x 3x 5
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 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 199214346240/(2x384)
LCM = 199214346240/768
LCM = 259393680
Thus, we can understand that the LCM of 592,728,642,720 is 259393680.
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FAQs on LCM of 592, 728, 642, 720
1. What is the LCM of 592, 728, 642, 720?
Answer: LCM of 592, 728, 642, 720 is 259393680.
2. How to calculate the LCM of 592, 728, 642, 720?
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 592, 728, 642, 720.
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}.