Find the LCM of 330, 470, 731, 783, 302 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 330, 470, 731, 783, 302. So, keep reading to learn more.
Given numbers are 330,470,731,783,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,470,731,783,302 is 446834429910.
Find LCM of 330,470,731,783,302 with Prime Factorization
2 | 330, 470, 731, 783, 302 |
3 | 165, 235, 731, 783, 151 |
5 | 55, 235, 731, 261, 151 |
11, 47, 731, 261, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 47 x 731 x 261 x 151 = 446834429910
Therefore, the lowest common multiple of 330,470,731,783,302 is 446834429910.
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.
330 x 470 x 731 x 783 x 302 = 26810065794600
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
470 : 1, 2, 5, 10, 47, 94, 235, 470
731 : 1, 17, 43, 731
783 : 1, 3, 9, 27, 29, 87, 261, 783
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,470,731,783,302, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
470:2x 5x 47
731:17x 43
783:3x 3x 3x 29
302:2x 151
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 26810065794600/(1x60)
LCM = 26810065794600/60
LCM = 446834429910
Thus, we can understand that the LCM of 330,470,731,783,302 is 446834429910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 330, 470, 731, 783, 302?
Answer: LCM of 330, 470, 731, 783, 302 is 446834429910.
2. How to calculate the LCM of 330, 470, 731, 783, 302?
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 330, 470, 731, 783, 302.
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}.