LCM of 330, 706, 440, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 706, 440, 400 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, 706, 440, 400. So, keep reading to learn more.
Given numbers are 330,706,440,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,706,440,400 is 4659600.
Find LCM of 330,706,440,400 with Prime Factorization
| 2 | 330, 706, 440, 400 |
| 2 | 165, 353, 220, 200 |
| 2 | 165, 353, 110, 100 |
| 5 | 165, 353, 55, 50 |
| 11 | 33, 353, 11, 10 |
| 3, 353, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 3 x 353 x 1 x 10 = 4659600
Therefore, the lowest common multiple of 330,706,440,400 is 4659600.
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 706 x 440 x 400 = 41004480000
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
706 : 1, 2, 353, 706
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,706,440,400, is 2.
Now, the common factors can be found like this.
330:2x 3x 5x 11
706:2x 353
440:2x 2x 2x 5x 11
400:2x 2x 2x 2x 5x 5
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 2x 5x 5x 11 = 4400
Therefore, the value for common factors is 4400.
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 = 41004480000/(2x4400)
LCM = 41004480000/8800
LCM = 4659600
Thus, we can understand that the LCM of 330,706,440,400 is 4659600.
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, 706, 440, 400
1. What is the LCM of 330, 706, 440, 400?
Answer: LCM of 330, 706, 440, 400 is 4659600.
2. How to calculate the LCM of 330, 706, 440, 400?
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, 706, 440, 400.
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}.