Find the LCM of 820, 167, 470, 703, 285 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 820, 167, 470, 703, 285. So, keep reading to learn more.
Given numbers are 820,167,470,703,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,167,470,703,285 is 13573903620.
Find LCM of 820,167,470,703,285 with Prime Factorization
2 | 820, 167, 470, 703, 285 |
5 | 410, 167, 235, 703, 285 |
19 | 82, 167, 47, 703, 57 |
82, 167, 47, 37, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 82 x 167 x 47 x 37 x 3 = 13573903620
Therefore, the lowest common multiple of 820,167,470,703,285 is 13573903620.
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.
820 x 167 x 470 x 703 x 285 = 12895208439000
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
167 : 1, 167
470 : 1, 2, 5, 10, 47, 94, 235, 470
703 : 1, 19, 37, 703
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,167,470,703,285, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
167:167
470:2x 5x 47
703:19x 37
285:3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 19 = 950
Therefore, the value for common factors is 950.
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 = 12895208439000/(1x950)
LCM = 12895208439000/950
LCM = 13573903620
Thus, we can understand that the LCM of 820,167,470,703,285 is 13573903620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 820, 167, 470, 703, 285?
Answer: LCM of 820, 167, 470, 703, 285 is 13573903620.
2. How to calculate the LCM of 820, 167, 470, 703, 285?
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 820, 167, 470, 703, 285.
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}.