LCM of 329, 444, 414, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 444, 414, 284 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 329, 444, 414, 284. So, keep reading to learn more.
Given numbers are 329,444,414,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,444,414,284 is 715626324.
Find LCM of 329,444,414,284 with Prime Factorization
| 2 | 329, 444, 414, 284 |
| 2 | 329, 222, 207, 142 |
| 3 | 329, 111, 207, 71 |
| 329, 37, 69, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 329 x 37 x 69 x 71 = 715626324
Therefore, the lowest common multiple of 329,444,414,284 is 715626324.
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.
329 x 444 x 414 x 284 = 17175031776
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.
329 : 1, 7, 47, 329
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,444,414,284, is 1.
Now, the common factors can be found like this.
329:7x 47
444:2x 2x 3x 37
414:2x 3x 3x 23
284:2x 2x 71
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 3 = 24
Therefore, the value for common factors is 24.
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 = 17175031776/(1x24)
LCM = 17175031776/24
LCM = 715626324
Thus, we can understand that the LCM of 329,444,414,284 is 715626324.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 329, 444, 414, 284
1. What is the LCM of 329, 444, 414, 284?
Answer: LCM of 329, 444, 414, 284 is 715626324.
2. How to calculate the LCM of 329, 444, 414, 284?
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 329, 444, 414, 284.
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}.