Find the LCM of 608, 837, 418, 603, 993 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 608, 837, 418, 603, 993. So, keep reading to learn more.
Given numbers are 608,837,418,603,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,837,418,603,993 is 124143652512.
Find LCM of 608,837,418,603,993 with Prime Factorization
2 | 608, 837, 418, 603, 993 |
3 | 304, 837, 209, 603, 993 |
3 | 304, 279, 209, 201, 331 |
19 | 304, 93, 209, 67, 331 |
16, 93, 11, 67, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 16 x 93 x 11 x 67 x 331 = 124143652512
Therefore, the lowest common multiple of 608,837,418,603,993 is 124143652512.
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.
608 x 837 x 418 x 603 x 993 = 127371387477312
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
837 : 1, 3, 9, 27, 31, 93, 279, 837
418 : 1, 2, 11, 19, 22, 38, 209, 418
603 : 1, 3, 9, 67, 201, 603
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,837,418,603,993, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
837:3x 3x 3x 31
418:2x 11x 19
603:3x 3x 67
993:3x 331
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 19 = 1026
Therefore, the value for common factors is 1026.
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 = 127371387477312/(1x1026)
LCM = 127371387477312/1026
LCM = 124143652512
Thus, we can understand that the LCM of 608,837,418,603,993 is 124143652512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 608, 837, 418, 603, 993?
Answer: LCM of 608, 837, 418, 603, 993 is 124143652512.
2. How to calculate the LCM of 608, 837, 418, 603, 993?
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 608, 837, 418, 603, 993.
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}.