LCM of 330, 561, 630, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 561, 630, 414 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, 561, 630, 414. So, keep reading to learn more.
Given numbers are 330,561,630,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,561,630,414 is 2709630.
Find LCM of 330,561,630,414 with Prime Factorization
| 2 | 330, 561, 630, 414 |
| 3 | 165, 561, 315, 207 |
| 3 | 55, 187, 105, 69 |
| 5 | 55, 187, 35, 23 |
| 11 | 11, 187, 7, 23 |
| 1, 17, 7, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 1 x 17 x 7 x 23 = 2709630
Therefore, the lowest common multiple of 330,561,630,414 is 2709630.
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 561 x 630 x 414 = 48285606600
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,561,630,414, is 3.
Now, the common factors can be found like this.
330:2x 3x 5x 11
561:3x 11x 17
630:2x 3x 3x 5x 7
414:2x 3x 3x 23
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 3x 5x 11 = 5940
Therefore, the value for common factors is 5940.
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 = 48285606600/(3x5940)
LCM = 48285606600/17820
LCM = 2709630
Thus, we can understand that the LCM of 330,561,630,414 is 2709630.
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FAQs on LCM of 330, 561, 630, 414
1. What is the LCM of 330, 561, 630, 414?
Answer: LCM of 330, 561, 630, 414 is 2709630.
2. How to calculate the LCM of 330, 561, 630, 414?
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, 561, 630, 414.
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}.