Find the LCM of 416, 408, 723, 505, 846 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 416, 408, 723, 505, 846. So, keep reading to learn more.
Given numbers are 416,408,723,505,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,408,723,505,846 is 364075152480.
Find LCM of 416,408,723,505,846 with Prime Factorization
2 | 416, 408, 723, 505, 846 |
2 | 208, 204, 723, 505, 423 |
2 | 104, 102, 723, 505, 423 |
3 | 52, 51, 723, 505, 423 |
52, 17, 241, 505, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 52 x 17 x 241 x 505 x 141 = 364075152480
Therefore, the lowest common multiple of 416,408,723,505,846 is 364075152480.
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.
416 x 408 x 723 x 505 x 846 = 52426821957120
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
723 : 1, 3, 241, 723
505 : 1, 5, 101, 505
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,408,723,505,846, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
408:2x 2x 2x 3x 17
723:3x 241
505:5x 101
846:2x 3x 3x 47
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 52426821957120/(1x144)
LCM = 52426821957120/144
LCM = 364075152480
Thus, we can understand that the LCM of 416,408,723,505,846 is 364075152480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 408, 723, 505, 846?
Answer: LCM of 416, 408, 723, 505, 846 is 364075152480.
2. How to calculate the LCM of 416, 408, 723, 505, 846?
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 416, 408, 723, 505, 846.
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}.