LCM of 884, 160, 928, 754, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 160, 928, 754, 321 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 884, 160, 928, 754, 321. So, keep reading to learn more.
Given numbers are 884,160,928,754,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,160,928,754,321 is 329166240.
Find LCM of 884,160,928,754,321 with Prime Factorization
| 2 | 884, 160, 928, 754, 321 |
| 2 | 442, 80, 464, 377, 321 |
| 2 | 221, 40, 232, 377, 321 |
| 2 | 221, 20, 116, 377, 321 |
| 2 | 221, 10, 58, 377, 321 |
| 13 | 221, 5, 29, 377, 321 |
| 29 | 17, 5, 29, 29, 321 |
| 17, 5, 1, 1, 321 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 13 x 29 x 17 x 5 x 1 x 1 x 321 = 329166240
Therefore, the lowest common multiple of 884,160,928,754,321 is 329166240.
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.
884 x 160 x 928 x 754 x 321 = 31768492154880
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
754 : 1, 2, 13, 26, 29, 58, 377, 754
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,160,928,754,321, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
160:2x 2x 2x 2x 2x 5
928:2x 2x 2x 2x 2x 29
754:2x 13x 29
321:3x 107
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 2x 13x 29 = 96512
Therefore, the value for common factors is 96512.
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 = 31768492154880/(1x96512)
LCM = 31768492154880/96512
LCM = 329166240
Thus, we can understand that the LCM of 884,160,928,754,321 is 329166240.
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FAQs on LCM of 884, 160, 928, 754, 321
1. What is the LCM of 884, 160, 928, 754, 321?
Answer: LCM of 884, 160, 928, 754, 321 is 329166240.
2. How to calculate the LCM of 884, 160, 928, 754, 321?
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 884, 160, 928, 754, 321.
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}.