Find the LCM of 369, 517, 368, 739, 903 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 369, 517, 368, 739, 903. So, keep reading to learn more.
Given numbers are 369,517,368,739,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,517,368,739,903 is 15616210767696.
Find LCM of 369,517,368,739,903 with Prime Factorization
3 | 369, 517, 368, 739, 903 |
123, 517, 368, 739, 301 |
Multiply the prime numbers at the bottom and the left side.
3 x 123 x 517 x 368 x 739 x 301 = 15616210767696
Therefore, the lowest common multiple of 369,517,368,739,903 is 15616210767696.
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.
369 x 517 x 368 x 739 x 903 = 46848632303088
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.
369 : 1, 3, 9, 41, 123, 369
517 : 1, 11, 47, 517
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
739 : 1, 739
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,517,368,739,903, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
517:11x 47
368:2x 2x 2x 2x 23
739:739
903:3x 7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 46848632303088/(1x3)
LCM = 46848632303088/3
LCM = 15616210767696
Thus, we can understand that the LCM of 369,517,368,739,903 is 15616210767696.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 369, 517, 368, 739, 903?
Answer: LCM of 369, 517, 368, 739, 903 is 15616210767696.
2. How to calculate the LCM of 369, 517, 368, 739, 903?
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 369, 517, 368, 739, 903.
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}.