LCM of 429, 570, 822, 960, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 570, 822, 960, 344 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 429, 570, 822, 960, 344. So, keep reading to learn more.
Given numbers are 429,570,822,960,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,570,822,960,344 is 15365613120.
Find LCM of 429,570,822,960,344 with Prime Factorization
| 2 | 429, 570, 822, 960, 344 |
| 2 | 429, 285, 411, 480, 172 |
| 2 | 429, 285, 411, 240, 86 |
| 3 | 429, 285, 411, 120, 43 |
| 5 | 143, 95, 137, 40, 43 |
| 143, 19, 137, 8, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 143 x 19 x 137 x 8 x 43 = 15365613120
Therefore, the lowest common multiple of 429,570,822,960,344 is 15365613120.
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.
429 x 570 x 822 x 960 x 344 = 66379448678400
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
822 : 1, 2, 3, 6, 137, 274, 411, 822
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,570,822,960,344, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
570:2x 3x 5x 19
822:2x 3x 137
960:2x 2x 2x 2x 2x 2x 3x 5
344:2x 2x 2x 43
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 3x 5 = 4320
Therefore, the value for common factors is 4320.
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 = 66379448678400/(1x4320)
LCM = 66379448678400/4320
LCM = 15365613120
Thus, we can understand that the LCM of 429,570,822,960,344 is 15365613120.
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FAQs on LCM of 429, 570, 822, 960, 344
1. What is the LCM of 429, 570, 822, 960, 344?
Answer: LCM of 429, 570, 822, 960, 344 is 15365613120.
2. How to calculate the LCM of 429, 570, 822, 960, 344?
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 429, 570, 822, 960, 344.
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}.