LCM of 330, 913, 406, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 913, 406, 610 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, 913, 406, 610. So, keep reading to learn more.
Given numbers are 330,913,406,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,913,406,610 is 339170370.
Find LCM of 330,913,406,610 with Prime Factorization
| 2 | 330, 913, 406, 610 |
| 5 | 165, 913, 203, 305 |
| 11 | 33, 913, 203, 61 |
| 3, 83, 203, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 3 x 83 x 203 x 61 = 339170370
Therefore, the lowest common multiple of 330,913,406,610 is 339170370.
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 913 x 406 x 610 = 74617481400
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
913 : 1, 11, 83, 913
406 : 1, 2, 7, 14, 29, 58, 203, 406
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,913,406,610, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
913:11x 83
406:2x 7x 29
610:2x 5x 61
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 74617481400/(1x220)
LCM = 74617481400/220
LCM = 339170370
Thus, we can understand that the LCM of 330,913,406,610 is 339170370.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 330, 913, 406, 610
1. What is the LCM of 330, 913, 406, 610?
Answer: LCM of 330, 913, 406, 610 is 339170370.
2. How to calculate the LCM of 330, 913, 406, 610?
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, 913, 406, 610.
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}.