Find the LCM of 432, 100, 667, 309, 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 432, 100, 667, 309, 846. So, keep reading to learn more.
Given numbers are 432,100,667,309,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,100,667,309,846 is 34872627600.
Find LCM of 432,100,667,309,846 with Prime Factorization
2 | 432, 100, 667, 309, 846 |
2 | 216, 50, 667, 309, 423 |
3 | 108, 25, 667, 309, 423 |
3 | 36, 25, 667, 103, 141 |
12, 25, 667, 103, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 12 x 25 x 667 x 103 x 47 = 34872627600
Therefore, the lowest common multiple of 432,100,667,309,846 is 34872627600.
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.
432 x 100 x 667 x 309 x 846 = 7532487561600
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
667 : 1, 23, 29, 667
309 : 1, 3, 103, 309
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 432,100,667,309,846, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
100:2x 2x 5x 5
667:23x 29
309:3x 103
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 7532487561600/(1x216)
LCM = 7532487561600/216
LCM = 34872627600
Thus, we can understand that the LCM of 432,100,667,309,846 is 34872627600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 432, 100, 667, 309, 846?
Answer: LCM of 432, 100, 667, 309, 846 is 34872627600.
2. How to calculate the LCM of 432, 100, 667, 309, 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 432, 100, 667, 309, 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}.