LCM of 239, 728, 214, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 239, 728, 214, 585 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 239, 728, 214, 585. So, keep reading to learn more.
Given numbers are 239,728,214,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,728,214,585 is 837771480.
Find LCM of 239,728,214,585 with Prime Factorization
| 2 | 239, 728, 214, 585 |
| 13 | 239, 364, 107, 585 |
| 239, 28, 107, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 239 x 28 x 107 x 45 = 837771480
Therefore, the lowest common multiple of 239,728,214,585 is 837771480.
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.
239 x 728 x 214 x 585 = 21782058480
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.
239 : 1, 239
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
214 : 1, 2, 107, 214
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,728,214,585, is 1.
Now, the common factors can be found like this.
239:239
728:2x 2x 2x 7x 13
214:2x 107
585:3x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 21782058480/(1x26)
LCM = 21782058480/26
LCM = 837771480
Thus, we can understand that the LCM of 239,728,214,585 is 837771480.
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FAQs on LCM of 239, 728, 214, 585
1. What is the LCM of 239, 728, 214, 585?
Answer: LCM of 239, 728, 214, 585 is 837771480.
2. How to calculate the LCM of 239, 728, 214, 585?
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 239, 728, 214, 585.
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}.