Find the LCM of 622, 874, 964, 438, 409 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 622, 874, 964, 438, 409. So, keep reading to learn more.
Given numbers are 622,874,964,438,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,874,964,438,409 is 11735086164708.
Find LCM of 622,874,964,438,409 with Prime Factorization
2 | 622, 874, 964, 438, 409 |
311, 437, 482, 219, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 311 x 437 x 482 x 219 x 409 = 11735086164708
Therefore, the lowest common multiple of 622,874,964,438,409 is 11735086164708.
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.
622 x 874 x 964 x 438 x 409 = 93880689317664
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.
622 : 1, 2, 311, 622
874 : 1, 2, 19, 23, 38, 46, 437, 874
964 : 1, 2, 4, 241, 482, 964
438 : 1, 2, 3, 6, 73, 146, 219, 438
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,874,964,438,409, is 1.
Now, the common factors can be found like this.
622:2x 311
874:2x 19x 23
964:2x 2x 241
438:2x 3x 73
409:409
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 2 = 8
Therefore, the value for common factors is 8.
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 = 93880689317664/(1x8)
LCM = 93880689317664/8
LCM = 11735086164708
Thus, we can understand that the LCM of 622,874,964,438,409 is 11735086164708.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 622, 874, 964, 438, 409?
Answer: LCM of 622, 874, 964, 438, 409 is 11735086164708.
2. How to calculate the LCM of 622, 874, 964, 438, 409?
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 622, 874, 964, 438, 409.
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}.