LCM of 390, 330, 164, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 330, 164, 858 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 390, 330, 164, 858. So, keep reading to learn more.
Given numbers are 390,330,164,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,330,164,858 is 351780.
Find LCM of 390,330,164,858 with Prime Factorization
| 2 | 390, 330, 164, 858 |
| 3 | 195, 165, 82, 429 |
| 5 | 65, 55, 82, 143 |
| 11 | 13, 11, 82, 143 |
| 13 | 13, 1, 82, 13 |
| 1, 1, 82, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 1 x 1 x 82 x 1 = 351780
Therefore, the lowest common multiple of 390,330,164,858 is 351780.
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.
390 x 330 x 164 x 858 = 18109634400
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
164 : 1, 2, 4, 41, 82, 164
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,330,164,858, is 2.
Now, the common factors can be found like this.
390:2x 3x 5x 13
330:2x 3x 5x 11
164:2x 2x 41
858:2x 3x 11x 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 3x 3x 5x 11x 13 = 25740
Therefore, the value for common factors is 25740.
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 = 18109634400/(2x25740)
LCM = 18109634400/51480
LCM = 351780
Thus, we can understand that the LCM of 390,330,164,858 is 351780.
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FAQs on LCM of 390, 330, 164, 858
1. What is the LCM of 390, 330, 164, 858?
Answer: LCM of 390, 330, 164, 858 is 351780.
2. How to calculate the LCM of 390, 330, 164, 858?
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 390, 330, 164, 858.
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}.