Find the LCM of 928, 500, 466, 152, 405 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 928, 500, 466, 152, 405. So, keep reading to learn more.
Given numbers are 928,500,466,152,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,500,466,152,405 is 41596092000.
Find LCM of 928,500,466,152,405 with Prime Factorization
2 | 928, 500, 466, 152, 405 |
2 | 464, 250, 233, 76, 405 |
2 | 232, 125, 233, 38, 405 |
5 | 116, 125, 233, 19, 405 |
116, 25, 233, 19, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 116 x 25 x 233 x 19 x 81 = 41596092000
Therefore, the lowest common multiple of 928,500,466,152,405 is 41596092000.
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.
928 x 500 x 466 x 152 x 405 = 13310749440000
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
466 : 1, 2, 233, 466
152 : 1, 2, 4, 8, 19, 38, 76, 152
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,500,466,152,405, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
500:2x 2x 5x 5x 5
466:2x 233
152:2x 2x 2x 19
405:3x 3x 3x 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 2x 2x 2x 2x 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 13310749440000/(1x320)
LCM = 13310749440000/320
LCM = 41596092000
Thus, we can understand that the LCM of 928,500,466,152,405 is 41596092000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 928, 500, 466, 152, 405?
Answer: LCM of 928, 500, 466, 152, 405 is 41596092000.
2. How to calculate the LCM of 928, 500, 466, 152, 405?
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 928, 500, 466, 152, 405.
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}.