Find the LCM of 665, 451, 738, 342, 817 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 665, 451, 738, 342, 817. So, keep reading to learn more.
Given numbers are 665,451,738,342,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,451,738,342,817 is 232134210.
Find LCM of 665,451,738,342,817 with Prime Factorization
2 | 665, 451, 738, 342, 817 |
3 | 665, 451, 369, 171, 817 |
3 | 665, 451, 123, 57, 817 |
19 | 665, 451, 41, 19, 817 |
41 | 35, 451, 41, 1, 43 |
35, 11, 1, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 41 x 35 x 11 x 1 x 1 x 43 = 232134210
Therefore, the lowest common multiple of 665,451,738,342,817 is 232134210.
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.
665 x 451 x 738 x 342 x 817 = 61844731959780
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
451 : 1, 11, 41, 451
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,451,738,342,817, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
451:11x 41
738:2x 3x 3x 41
342:2x 3x 3x 19
817:19x 43
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 19x 19x 41 = 266418
Therefore, the value for common factors is 266418.
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 = 61844731959780/(1x266418)
LCM = 61844731959780/266418
LCM = 232134210
Thus, we can understand that the LCM of 665,451,738,342,817 is 232134210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 665, 451, 738, 342, 817?
Answer: LCM of 665, 451, 738, 342, 817 is 232134210.
2. How to calculate the LCM of 665, 451, 738, 342, 817?
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 665, 451, 738, 342, 817.
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}.