Find the LCM of 668, 665, 466, 418, 638 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 668, 665, 466, 418, 638. So, keep reading to learn more.
Given numbers are 668,665,466,418,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,665,466,418,638 is 33017539940.
Find LCM of 668,665,466,418,638 with Prime Factorization
2 | 668, 665, 466, 418, 638 |
11 | 334, 665, 233, 209, 319 |
19 | 334, 665, 233, 19, 29 |
334, 35, 233, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 334 x 35 x 233 x 1 x 29 = 33017539940
Therefore, the lowest common multiple of 668,665,466,418,638 is 33017539940.
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.
668 x 665 x 466 x 418 x 638 = 55205326779680
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.
668 : 1, 2, 4, 167, 334, 668
665 : 1, 5, 7, 19, 35, 95, 133, 665
466 : 1, 2, 233, 466
418 : 1, 2, 11, 19, 22, 38, 209, 418
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,665,466,418,638, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
665:5x 7x 19
466:2x 233
418:2x 11x 19
638:2x 11x 29
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 11x 19 = 1672
Therefore, the value for common factors is 1672.
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 = 55205326779680/(1x1672)
LCM = 55205326779680/1672
LCM = 33017539940
Thus, we can understand that the LCM of 668,665,466,418,638 is 33017539940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 668, 665, 466, 418, 638?
Answer: LCM of 668, 665, 466, 418, 638 is 33017539940.
2. How to calculate the LCM of 668, 665, 466, 418, 638?
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 668, 665, 466, 418, 638.
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}.