Find the LCM of 367, 314, 478, 800, 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 367, 314, 478, 800, 405. So, keep reading to learn more.
Given numbers are 367,314,478,800,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,314,478,800,405 is 892356976800.
Find LCM of 367,314,478,800,405 with Prime Factorization
2 | 367, 314, 478, 800, 405 |
5 | 367, 157, 239, 400, 405 |
367, 157, 239, 80, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 367 x 157 x 239 x 80 x 81 = 892356976800
Therefore, the lowest common multiple of 367,314,478,800,405 is 892356976800.
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.
367 x 314 x 478 x 800 x 405 = 17847139536000
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.
367 : 1, 367
314 : 1, 2, 157, 314
478 : 1, 2, 239, 478
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
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 367,314,478,800,405, is 1.
Now, the common factors can be found like this.
367:367
314:2x 157
478:2x 239
800:2x 2x 2x 2x 2x 5x 5
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 5 = 20
Therefore, the value for common factors is 20.
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 = 17847139536000/(1x20)
LCM = 17847139536000/20
LCM = 892356976800
Thus, we can understand that the LCM of 367,314,478,800,405 is 892356976800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 367, 314, 478, 800, 405?
Answer: LCM of 367, 314, 478, 800, 405 is 892356976800.
2. How to calculate the LCM of 367, 314, 478, 800, 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 367, 314, 478, 800, 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}.