Find the LCM of 418, 109, 838, 437 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 418, 109, 838, 437. So, keep reading to learn more.
Given numbers are 418,109,838,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,109,838,437 is 439080994.
Find LCM of 418,109,838,437 with Prime Factorization
2 | 418, 109, 838, 437 |
19 | 209, 109, 419, 437 |
11, 109, 419, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 11 x 109 x 419 x 23 = 439080994
Therefore, the lowest common multiple of 418,109,838,437 is 439080994.
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.
418 x 109 x 838 x 437 = 16685077772
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
109 : 1, 109
838 : 1, 2, 419, 838
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,109,838,437, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
109:109
838:2x 419
437:19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 16685077772/(1x38)
LCM = 16685077772/38
LCM = 439080994
Thus, we can understand that the LCM of 418,109,838,437 is 439080994.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 109, 838, 437?
Answer: LCM of 418, 109, 838, 437 is 439080994.
2. How to calculate the LCM of 418, 109, 838, 437?
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 418, 109, 838, 437.
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}.