Find the LCM of 327, 842, 444, 735, 405 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 327, 842, 444, 735, 405. So, keep reading to learn more.
Given numbers are 327,842,444,735,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,842,444,735,405 is 134778746340.
Find LCM of 327,842,444,735,405 with Prime Factorization
2 | 327, 842, 444, 735, 405 |
3 | 327, 421, 222, 735, 405 |
5 | 109, 421, 74, 245, 135 |
109, 421, 74, 49, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 109 x 421 x 74 x 49 x 27 = 134778746340
Therefore, the lowest common multiple of 327,842,444,735,405 is 134778746340.
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.
327 x 842 x 444 x 735 x 405 = 36390261511800
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.
327 : 1, 3, 109, 327
842 : 1, 2, 421, 842
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,842,444,735,405, is 1.
Now, the common factors can be found like this.
327:3x 109
842:2x 421
444:2x 2x 3x 37
735:3x 5x 7x 7
405:3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 36390261511800/(1x270)
LCM = 36390261511800/270
LCM = 134778746340
Thus, we can understand that the LCM of 327,842,444,735,405 is 134778746340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 327, 842, 444, 735, 405?
Answer: LCM of 327, 842, 444, 735, 405 is 134778746340.
2. How to calculate the LCM of 327, 842, 444, 735, 405?
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 327, 842, 444, 735, 405.
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}.