LCM of 454, 214, 435, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 214, 435, 330 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 454, 214, 435, 330. So, keep reading to learn more.
Given numbers are 454,214,435,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,214,435,330 is 232445730.
Find LCM of 454,214,435,330 with Prime Factorization
| 2 | 454, 214, 435, 330 |
| 3 | 227, 107, 435, 165 |
| 5 | 227, 107, 145, 55 |
| 227, 107, 29, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 227 x 107 x 29 x 11 = 232445730
Therefore, the lowest common multiple of 454,214,435,330 is 232445730.
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.
454 x 214 x 435 x 330 = 13946743800
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.
454 : 1, 2, 227, 454
214 : 1, 2, 107, 214
435 : 1, 3, 5, 15, 29, 87, 145, 435
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,214,435,330, is 1.
Now, the common factors can be found like this.
454:2x 227
214:2x 107
435:3x 5x 29
330:2x 3x 5x 11
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 5 = 60
Therefore, the value for common factors is 60.
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 = 13946743800/(1x60)
LCM = 13946743800/60
LCM = 232445730
Thus, we can understand that the LCM of 454,214,435,330 is 232445730.
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FAQs on LCM of 454, 214, 435, 330
1. What is the LCM of 454, 214, 435, 330?
Answer: LCM of 454, 214, 435, 330 is 232445730.
2. How to calculate the LCM of 454, 214, 435, 330?
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 454, 214, 435, 330.
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}.