Find the LCM of 647, 870, 214, 385, 435 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 647, 870, 214, 385, 435. So, keep reading to learn more.
Given numbers are 647,870,214,385,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,870,214,385,435 is 4637650710.
Find LCM of 647,870,214,385,435 with Prime Factorization
2 | 647, 870, 214, 385, 435 |
3 | 647, 435, 107, 385, 435 |
5 | 647, 145, 107, 385, 145 |
29 | 647, 29, 107, 77, 29 |
647, 1, 107, 77, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 647 x 1 x 107 x 77 x 1 = 4637650710
Therefore, the lowest common multiple of 647,870,214,385,435 is 4637650710.
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.
647 x 870 x 214 x 385 x 435 = 20173780588500
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.
647 : 1, 647
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
214 : 1, 2, 107, 214
385 : 1, 5, 7, 11, 35, 55, 77, 385
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,870,214,385,435, is 1.
Now, the common factors can be found like this.
647:647
870:2x 3x 5x 29
214:2x 107
385:5x 7x 11
435:3x 5x 29
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 5x 5x 29 = 4350
Therefore, the value for common factors is 4350.
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 = 20173780588500/(1x4350)
LCM = 20173780588500/4350
LCM = 4637650710
Thus, we can understand that the LCM of 647,870,214,385,435 is 4637650710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 647, 870, 214, 385, 435?
Answer: LCM of 647, 870, 214, 385, 435 is 4637650710.
2. How to calculate the LCM of 647, 870, 214, 385, 435?
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 647, 870, 214, 385, 435.
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}.