LCM of 329, 533, 832, 188, 800
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 533, 832, 188, 800 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, 533, 832, 188, 800. So, keep reading to learn more.
Given numbers are 329,533,832,188,800
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,533,832,188,800 is 280571200.
Find LCM of 329,533,832,188,800 with Prime Factorization
| 2 | 329, 533, 832, 188, 800 |
| 2 | 329, 533, 416, 94, 400 |
| 2 | 329, 533, 208, 47, 200 |
| 2 | 329, 533, 104, 47, 100 |
| 2 | 329, 533, 52, 47, 50 |
| 13 | 329, 533, 26, 47, 25 |
| 47 | 329, 41, 2, 47, 25 |
| 7, 41, 2, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 13 x 47 x 7 x 41 x 2 x 1 x 25 = 280571200
Therefore, the lowest common multiple of 329,533,832,188,800 is 280571200.
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 533 x 832 x 188 x 800 = 21942912409600
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
533 : 1, 13, 41, 533
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
188 : 1, 2, 4, 47, 94, 188
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,533,832,188,800, is 1.
Now, the common factors can be found like this.
329:7x 47
533:13x 41
832:2x 2x 2x 2x 2x 2x 13
188:2x 2x 47
800:2x 2x 2x 2x 2x 5x 5
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 2x 2x 2x 2x 13x 47 = 78208
Therefore, the value for common factors is 78208.
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 = 21942912409600/(1x78208)
LCM = 21942912409600/78208
LCM = 280571200
Thus, we can understand that the LCM of 329,533,832,188,800 is 280571200.
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FAQs on LCM of 329, 533, 832, 188, 800
1. What is the LCM of 329, 533, 832, 188, 800?
Answer: LCM of 329, 533, 832, 188, 800 is 280571200.
2. How to calculate the LCM of 329, 533, 832, 188, 800?
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, 533, 832, 188, 800.
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}.