LCM of 426, 480, 330, 716, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 480, 330, 716, 390 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 426, 480, 330, 716, 390. So, keep reading to learn more.
Given numbers are 426,480,330,716,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,480,330,716,390 is 872345760.
Find LCM of 426,480,330,716,390 with Prime Factorization
| 2 | 426, 480, 330, 716, 390 |
| 2 | 213, 240, 165, 358, 195 |
| 3 | 213, 120, 165, 179, 195 |
| 5 | 71, 40, 55, 179, 65 |
| 71, 8, 11, 179, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 71 x 8 x 11 x 179 x 13 = 872345760
Therefore, the lowest common multiple of 426,480,330,716,390 is 872345760.
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.
426 x 480 x 330 x 716 x 390 = 18842668416000
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
716 : 1, 2, 4, 179, 358, 716
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,480,330,716,390, is 2.
Now, the common factors can be found like this.
426:2x 3x 71
480:2x 2x 2x 2x 2x 3x 5
330:2x 3x 5x 11
716:2x 2x 179
390:2x 3x 5x 13
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 3x 3x 3x 5x 5 = 10800
Therefore, the value for common factors is 10800.
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 = 18842668416000/(2x10800)
LCM = 18842668416000/21600
LCM = 872345760
Thus, we can understand that the LCM of 426,480,330,716,390 is 872345760.
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FAQs on LCM of 426, 480, 330, 716, 390
1. What is the LCM of 426, 480, 330, 716, 390?
Answer: LCM of 426, 480, 330, 716, 390 is 872345760.
2. How to calculate the LCM of 426, 480, 330, 716, 390?
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 426, 480, 330, 716, 390.
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}.