LCM of 591, 593, 864, 429, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 593, 864, 429, 870 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 591, 593, 864, 429, 870. So, keep reading to learn more.
Given numbers are 591,593,864,429,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,593,864,429,870 is 2092852887840.
Find LCM of 591,593,864,429,870 with Prime Factorization
| 2 | 591, 593, 864, 429, 870 |
| 3 | 591, 593, 432, 429, 435 |
| 197, 593, 144, 143, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 593 x 144 x 143 x 145 = 2092852887840
Therefore, the lowest common multiple of 591,593,864,429,870 is 2092852887840.
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.
591 x 593 x 864 x 429 x 870 = 113014055943360
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.
591 : 1, 3, 197, 591
593 : 1, 593
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
429 : 1, 3, 11, 13, 33, 39, 143, 429
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,593,864,429,870, is 1.
Now, the common factors can be found like this.
591:3x 197
593:593
864:2x 2x 2x 2x 2x 3x 3x 3
429:3x 11x 13
870:2x 3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 113014055943360/(1x54)
LCM = 113014055943360/54
LCM = 2092852887840
Thus, we can understand that the LCM of 591,593,864,429,870 is 2092852887840.
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FAQs on LCM of 591, 593, 864, 429, 870
1. What is the LCM of 591, 593, 864, 429, 870?
Answer: LCM of 591, 593, 864, 429, 870 is 2092852887840.
2. How to calculate the LCM of 591, 593, 864, 429, 870?
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 591, 593, 864, 429, 870.
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}.