LCM of 384, 144, 570, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 144, 570, 722 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 384, 144, 570, 722. So, keep reading to learn more.
Given numbers are 384,144,570,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,144,570,722 is 2079360.
Find LCM of 384,144,570,722 with Prime Factorization
| 2 | 384, 144, 570, 722 |
| 2 | 192, 72, 285, 361 |
| 2 | 96, 36, 285, 361 |
| 2 | 48, 18, 285, 361 |
| 3 | 24, 9, 285, 361 |
| 19 | 8, 3, 95, 361 |
| 8, 3, 5, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 8 x 3 x 5 x 19 = 2079360
Therefore, the lowest common multiple of 384,144,570,722 is 2079360.
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.
384 x 144 x 570 x 722 = 22756515840
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
722 : 1, 2, 19, 38, 361, 722
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,144,570,722, is 2.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
144:2x 2x 2x 2x 3x 3
570:2x 3x 5x 19
722:2x 19x 19
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 3x 3x 19 = 5472
Therefore, the value for common factors is 5472.
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 = 22756515840/(2x5472)
LCM = 22756515840/10944
LCM = 2079360
Thus, we can understand that the LCM of 384,144,570,722 is 2079360.
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FAQs on LCM of 384, 144, 570, 722
1. What is the LCM of 384, 144, 570, 722?
Answer: LCM of 384, 144, 570, 722 is 2079360.
2. How to calculate the LCM of 384, 144, 570, 722?
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 384, 144, 570, 722.
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}.