LCM of 330, 213, 808, 686, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 213, 808, 686, 319 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, 213, 808, 686, 319. So, keep reading to learn more.
Given numbers are 330,213,808,686,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,213,808,686,319 is 94155516840.
Find LCM of 330,213,808,686,319 with Prime Factorization
| 2 | 330, 213, 808, 686, 319 |
| 3 | 165, 213, 404, 343, 319 |
| 11 | 55, 71, 404, 343, 319 |
| 5, 71, 404, 343, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 5 x 71 x 404 x 343 x 29 = 94155516840
Therefore, the lowest common multiple of 330,213,808,686,319 is 94155516840.
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 213 x 808 x 686 x 319 = 12428528222880
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
213 : 1, 3, 71, 213
808 : 1, 2, 4, 8, 101, 202, 404, 808
686 : 1, 2, 7, 14, 49, 98, 343, 686
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,213,808,686,319, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
213:3x 71
808:2x 2x 2x 101
686:2x 7x 7x 7
319:11x 29
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 11 = 132
Therefore, the value for common factors is 132.
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 = 12428528222880/(1x132)
LCM = 12428528222880/132
LCM = 94155516840
Thus, we can understand that the LCM of 330,213,808,686,319 is 94155516840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 330, 213, 808, 686, 319
1. What is the LCM of 330, 213, 808, 686, 319?
Answer: LCM of 330, 213, 808, 686, 319 is 94155516840.
2. How to calculate the LCM of 330, 213, 808, 686, 319?
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, 213, 808, 686, 319.
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}.