LCM of 463, 645, 481, 555, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 645, 481, 555, 325 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 463, 645, 481, 555, 325. So, keep reading to learn more.
Given numbers are 463,645,481,555,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,645,481,555,325 is 718217175.
Find LCM of 463,645,481,555,325 with Prime Factorization
| 3 | 463, 645, 481, 555, 325 |
| 5 | 463, 215, 481, 185, 325 |
| 13 | 463, 43, 481, 37, 65 |
| 37 | 463, 43, 37, 37, 5 |
| 463, 43, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 37 x 463 x 43 x 1 x 1 x 5 = 718217175
Therefore, the lowest common multiple of 463,645,481,555,325 is 718217175.
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.
463 x 645 x 481 x 555 x 325 = 25909684588125
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.
463 : 1, 463
645 : 1, 3, 5, 15, 43, 129, 215, 645
481 : 1, 13, 37, 481
555 : 1, 3, 5, 15, 37, 111, 185, 555
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,645,481,555,325, is 1.
Now, the common factors can be found like this.
463:463
645:3x 5x 43
481:13x 37
555:3x 5x 37
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 13x 37 = 36075
Therefore, the value for common factors is 36075.
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 = 25909684588125/(1x36075)
LCM = 25909684588125/36075
LCM = 718217175
Thus, we can understand that the LCM of 463,645,481,555,325 is 718217175.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 645, 481, 555, 325
1. What is the LCM of 463, 645, 481, 555, 325?
Answer: LCM of 463, 645, 481, 555, 325 is 718217175.
2. How to calculate the LCM of 463, 645, 481, 555, 325?
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 463, 645, 481, 555, 325.
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}.