LCM of 768, 432, 639, 898
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 432, 639, 898 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 768, 432, 639, 898. So, keep reading to learn more.
Given numbers are 768,432,639,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,432,639,898 is 220347648.
Find LCM of 768,432,639,898 with Prime Factorization
| 2 | 768, 432, 639, 898 |
| 2 | 384, 216, 639, 449 |
| 2 | 192, 108, 639, 449 |
| 2 | 96, 54, 639, 449 |
| 3 | 48, 27, 639, 449 |
| 3 | 16, 9, 213, 449 |
| 16, 3, 71, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 16 x 3 x 71 x 449 = 220347648
Therefore, the lowest common multiple of 768,432,639,898 is 220347648.
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.
768 x 432 x 639 x 898 = 190380367872
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
639 : 1, 3, 9, 71, 213, 639
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,432,639,898, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
432:2x 2x 2x 2x 3x 3x 3
639:3x 3x 71
898:2x 449
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 3 = 864
Therefore, the value for common factors is 864.
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 = 190380367872/(1x864)
LCM = 190380367872/864
LCM = 220347648
Thus, we can understand that the LCM of 768,432,639,898 is 220347648.
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FAQs on LCM of 768, 432, 639, 898
1. What is the LCM of 768, 432, 639, 898?
Answer: LCM of 768, 432, 639, 898 is 220347648.
2. How to calculate the LCM of 768, 432, 639, 898?
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 768, 432, 639, 898.
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}.