LCM of 442, 184, 204, 852, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 184, 204, 852, 610 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 442, 184, 204, 852, 610. So, keep reading to learn more.
Given numbers are 442,184,204,852,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,184,204,852,610 is 2641736760.
Find LCM of 442,184,204,852,610 with Prime Factorization
| 2 | 442, 184, 204, 852, 610 |
| 2 | 221, 92, 102, 426, 305 |
| 3 | 221, 46, 51, 213, 305 |
| 17 | 221, 46, 17, 71, 305 |
| 13, 46, 1, 71, 305 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 13 x 46 x 1 x 71 x 305 = 2641736760
Therefore, the lowest common multiple of 442,184,204,852,610 is 2641736760.
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.
442 x 184 x 204 x 852 x 610 = 8622628784640
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
184 : 1, 2, 4, 8, 23, 46, 92, 184
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
610 : 1, 2, 5, 10, 61, 122, 305, 610
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,184,204,852,610, is 2.
Now, the common factors can be found like this.
442:2x 13x 17
184:2x 2x 2x 23
204:2x 2x 3x 17
852:2x 2x 3x 71
610:2x 5x 61
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 3x 17 = 1632
Therefore, the value for common factors is 1632.
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 = 8622628784640/(2x1632)
LCM = 8622628784640/3264
LCM = 2641736760
Thus, we can understand that the LCM of 442,184,204,852,610 is 2641736760.
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FAQs on LCM of 442, 184, 204, 852, 610
1. What is the LCM of 442, 184, 204, 852, 610?
Answer: LCM of 442, 184, 204, 852, 610 is 2641736760.
2. How to calculate the LCM of 442, 184, 204, 852, 610?
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 442, 184, 204, 852, 610.
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}.