LCM of 407, 330, 611, 414, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 330, 611, 414, 286 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 407, 330, 611, 414, 286. So, keep reading to learn more.
Given numbers are 407,330,611,414,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,330,611,414,286 is 514761390.
Find LCM of 407,330,611,414,286 with Prime Factorization
| 2 | 407, 330, 611, 414, 286 |
| 3 | 407, 165, 611, 207, 143 |
| 11 | 407, 55, 611, 69, 143 |
| 13 | 37, 5, 611, 69, 13 |
| 37, 5, 47, 69, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 37 x 5 x 47 x 69 x 1 = 514761390
Therefore, the lowest common multiple of 407,330,611,414,286 is 514761390.
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.
407 x 330 x 611 x 414 x 286 = 9716635997640
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.
407 : 1, 11, 37, 407
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
611 : 1, 13, 47, 611
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,330,611,414,286, is 1.
Now, the common factors can be found like this.
407:11x 37
330:2x 3x 5x 11
611:13x 47
414:2x 3x 3x 23
286:2x 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 11x 11x 13 = 18876
Therefore, the value for common factors is 18876.
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 = 9716635997640/(1x18876)
LCM = 9716635997640/18876
LCM = 514761390
Thus, we can understand that the LCM of 407,330,611,414,286 is 514761390.
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FAQs on LCM of 407, 330, 611, 414, 286
1. What is the LCM of 407, 330, 611, 414, 286?
Answer: LCM of 407, 330, 611, 414, 286 is 514761390.
2. How to calculate the LCM of 407, 330, 611, 414, 286?
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 407, 330, 611, 414, 286.
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}.