LCM of 533, 704, 441, 414, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 704, 441, 414, 329 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 533, 704, 441, 414, 329. So, keep reading to learn more.
Given numbers are 533,704,441,414,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,704,441,414,329 is 178880974272.
Find LCM of 533,704,441,414,329 with Prime Factorization
| 2 | 533, 704, 441, 414, 329 |
| 3 | 533, 352, 441, 207, 329 |
| 3 | 533, 352, 147, 69, 329 |
| 7 | 533, 352, 49, 23, 329 |
| 533, 352, 7, 23, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 533 x 352 x 7 x 23 x 47 = 178880974272
Therefore, the lowest common multiple of 533,704,441,414,329 is 178880974272.
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.
533 x 704 x 441 x 414 x 329 = 22539002758272
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.
533 : 1, 13, 41, 533
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,704,441,414,329, is 1.
Now, the common factors can be found like this.
533:13x 41
704:2x 2x 2x 2x 2x 2x 11
441:3x 3x 7x 7
414:2x 3x 3x 23
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 22539002758272/(1x126)
LCM = 22539002758272/126
LCM = 178880974272
Thus, we can understand that the LCM of 533,704,441,414,329 is 178880974272.
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FAQs on LCM of 533, 704, 441, 414, 329
1. What is the LCM of 533, 704, 441, 414, 329?
Answer: LCM of 533, 704, 441, 414, 329 is 178880974272.
2. How to calculate the LCM of 533, 704, 441, 414, 329?
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 533, 704, 441, 414, 329.
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}.