LCM of 330, 104, 675, 699, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 104, 675, 699, 204 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, 104, 675, 699, 204. So, keep reading to learn more.
Given numbers are 330,104,675,699,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,104,675,699,204 is 3058684200.
Find LCM of 330,104,675,699,204 with Prime Factorization
| 2 | 330, 104, 675, 699, 204 |
| 2 | 165, 52, 675, 699, 102 |
| 3 | 165, 26, 675, 699, 51 |
| 5 | 55, 26, 225, 233, 17 |
| 11, 26, 45, 233, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 26 x 45 x 233 x 17 = 3058684200
Therefore, the lowest common multiple of 330,104,675,699,204 is 3058684200.
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 104 x 675 x 699 x 204 = 3303378936000
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
104 : 1, 2, 4, 8, 13, 26, 52, 104
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
699 : 1, 3, 233, 699
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,104,675,699,204, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
104:2x 2x 2x 13
675:3x 3x 3x 5x 5
699:3x 233
204:2x 2x 3x 17
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 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 3303378936000/(1x1080)
LCM = 3303378936000/1080
LCM = 3058684200
Thus, we can understand that the LCM of 330,104,675,699,204 is 3058684200.
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FAQs on LCM of 330, 104, 675, 699, 204
1. What is the LCM of 330, 104, 675, 699, 204?
Answer: LCM of 330, 104, 675, 699, 204 is 3058684200.
2. How to calculate the LCM of 330, 104, 675, 699, 204?
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, 104, 675, 699, 204.
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}.