LCM of 598, 432, 768, 765, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 432, 768, 765, 831 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 598, 432, 768, 765, 831. So, keep reading to learn more.
Given numbers are 598,432,768,765,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,432,768,765,831 is 48660168960.
Find LCM of 598,432,768,765,831 with Prime Factorization
| 2 | 598, 432, 768, 765, 831 |
| 2 | 299, 216, 384, 765, 831 |
| 2 | 299, 108, 192, 765, 831 |
| 2 | 299, 54, 96, 765, 831 |
| 3 | 299, 27, 48, 765, 831 |
| 3 | 299, 9, 16, 255, 277 |
| 299, 3, 16, 85, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 299 x 3 x 16 x 85 x 277 = 48660168960
Therefore, the lowest common multiple of 598,432,768,765,831 is 48660168960.
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.
598 x 432 x 768 x 765 x 831 = 126127157944320
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,432,768,765,831, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
432:2x 2x 2x 2x 3x 3x 3
768:2x 2x 2x 2x 2x 2x 2x 2x 3
765:3x 3x 5x 17
831:3x 277
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 3 = 2592
Therefore, the value for common factors is 2592.
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 = 126127157944320/(1x2592)
LCM = 126127157944320/2592
LCM = 48660168960
Thus, we can understand that the LCM of 598,432,768,765,831 is 48660168960.
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FAQs on LCM of 598, 432, 768, 765, 831
1. What is the LCM of 598, 432, 768, 765, 831?
Answer: LCM of 598, 432, 768, 765, 831 is 48660168960.
2. How to calculate the LCM of 598, 432, 768, 765, 831?
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 598, 432, 768, 765, 831.
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}.