Find the LCM of 606, 303, 363, 103, 960 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 606, 303, 363, 103, 960. So, keep reading to learn more.
Given numbers are 606,303,363,103,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,303,363,103,960 is 1208412480.
Find LCM of 606,303,363,103,960 with Prime Factorization
2 | 606, 303, 363, 103, 960 |
3 | 303, 303, 363, 103, 480 |
101 | 101, 101, 121, 103, 160 |
1, 1, 121, 103, 160 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 1 x 1 x 121 x 103 x 160 = 1208412480
Therefore, the lowest common multiple of 606,303,363,103,960 is 1208412480.
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.
606 x 303 x 363 x 103 x 960 = 6590681665920
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
303 : 1, 3, 101, 303
363 : 1, 3, 11, 33, 121, 363
103 : 1, 103
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,303,363,103,960, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
303:3x 101
363:3x 11x 11
103:103
960:2x 2x 2x 2x 2x 2x 3x 5
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 101 = 5454
Therefore, the value for common factors is 5454.
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 = 6590681665920/(1x5454)
LCM = 6590681665920/5454
LCM = 1208412480
Thus, we can understand that the LCM of 606,303,363,103,960 is 1208412480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 606, 303, 363, 103, 960?
Answer: LCM of 606, 303, 363, 103, 960 is 1208412480.
2. How to calculate the LCM of 606, 303, 363, 103, 960?
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 606, 303, 363, 103, 960.
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}.