LCM of 762, 284, 648, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 284, 648, 432 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 762, 284, 648, 432. So, keep reading to learn more.
Given numbers are 762,284,648,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,284,648,432 is 11686032.
Find LCM of 762,284,648,432 with Prime Factorization
| 2 | 762, 284, 648, 432 |
| 2 | 381, 142, 324, 216 |
| 2 | 381, 71, 162, 108 |
| 3 | 381, 71, 81, 54 |
| 3 | 127, 71, 27, 18 |
| 3 | 127, 71, 9, 6 |
| 127, 71, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 127 x 71 x 3 x 2 = 11686032
Therefore, the lowest common multiple of 762,284,648,432 is 11686032.
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.
762 x 284 x 648 x 432 = 60580389888
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
284 : 1, 2, 4, 71, 142, 284
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,284,648,432, is 2.
Now, the common factors can be found like this.
762:2x 3x 127
284:2x 2x 71
648:2x 2x 2x 3x 3x 3x 3
432:2x 2x 2x 2x 3x 3x 3
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 = 60580389888/(2x2592)
LCM = 60580389888/5184
LCM = 11686032
Thus, we can understand that the LCM of 762,284,648,432 is 11686032.
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FAQs on LCM of 762, 284, 648, 432
1. What is the LCM of 762, 284, 648, 432?
Answer: LCM of 762, 284, 648, 432 is 11686032.
2. How to calculate the LCM of 762, 284, 648, 432?
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 762, 284, 648, 432.
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}.