Find the LCM of 599, 554, 414, 897, 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 599, 554, 414, 897, 993. So, keep reading to learn more.
Given numbers are 599,554,414,897,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,554,414,897,993 is 295582200966.
Find LCM of 599,554,414,897,993 with Prime Factorization
2 | 599, 554, 414, 897, 993 |
3 | 599, 277, 207, 897, 993 |
23 | 599, 277, 69, 299, 331 |
599, 277, 3, 13, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 599 x 277 x 3 x 13 x 331 = 295582200966
Therefore, the lowest common multiple of 599,554,414,897,993 is 295582200966.
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.
599 x 554 x 414 x 897 x 993 = 122371031199924
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.
599 : 1, 599
554 : 1, 2, 277, 554
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
897 : 1, 3, 13, 23, 39, 69, 299, 897
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,554,414,897,993, is 1.
Now, the common factors can be found like this.
599:599
554:2x 277
414:2x 3x 3x 23
897:3x 13x 23
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 23 = 414
Therefore, the value for common factors is 414.
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 = 122371031199924/(1x414)
LCM = 122371031199924/414
LCM = 295582200966
Thus, we can understand that the LCM of 599,554,414,897,993 is 295582200966.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 599, 554, 414, 897, 993?
Answer: LCM of 599, 554, 414, 897, 993 is 295582200966.
2. How to calculate the LCM of 599, 554, 414, 897, 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 599, 554, 414, 897, 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}.