LCM of 255, 962, 340, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 255, 962, 340, 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 255, 962, 340, 432. So, keep reading to learn more.
Given numbers are 255,962,340,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,962,340,432 is 17662320.
Find LCM of 255,962,340,432 with Prime Factorization
| 2 | 255, 962, 340, 432 |
| 2 | 255, 481, 170, 216 |
| 3 | 255, 481, 85, 108 |
| 5 | 85, 481, 85, 36 |
| 17 | 17, 481, 17, 36 |
| 1, 481, 1, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 1 x 481 x 1 x 36 = 17662320
Therefore, the lowest common multiple of 255,962,340,432 is 17662320.
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.
255 x 962 x 340 x 432 = 36031132800
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.
255 : 1, 3, 5, 15, 17, 51, 85, 255
962 : 1, 2, 13, 26, 37, 74, 481, 962
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,962,340,432, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
962:2x 13x 37
340:2x 2x 5x 17
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 3x 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 36031132800/(1x2040)
LCM = 36031132800/2040
LCM = 17662320
Thus, we can understand that the LCM of 255,962,340,432 is 17662320.
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FAQs on LCM of 255, 962, 340, 432
1. What is the LCM of 255, 962, 340, 432?
Answer: LCM of 255, 962, 340, 432 is 17662320.
2. How to calculate the LCM of 255, 962, 340, 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 255, 962, 340, 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}.