LCM of 578, 488, 442, 984, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 488, 442, 984, 171 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 578, 488, 442, 984, 171. So, keep reading to learn more.
Given numbers are 578,488,442,984,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,488,442,984,171 is 12854079576.
Find LCM of 578,488,442,984,171 with Prime Factorization
| 2 | 578, 488, 442, 984, 171 |
| 2 | 289, 244, 221, 492, 171 |
| 2 | 289, 122, 221, 246, 171 |
| 3 | 289, 61, 221, 123, 171 |
| 17 | 289, 61, 221, 41, 57 |
| 17, 61, 13, 41, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 17 x 61 x 13 x 41 x 57 = 12854079576
Therefore, the lowest common multiple of 578,488,442,984,171 is 12854079576.
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.
578 x 488 x 442 x 984 x 171 = 20977857868032
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.
578 : 1, 2, 17, 34, 289, 578
488 : 1, 2, 4, 8, 61, 122, 244, 488
442 : 1, 2, 13, 17, 26, 34, 221, 442
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,488,442,984,171, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
488:2x 2x 2x 61
442:2x 13x 17
984:2x 2x 2x 3x 41
171:3x 3x 19
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 = 20977857868032/(1x1632)
LCM = 20977857868032/1632
LCM = 12854079576
Thus, we can understand that the LCM of 578,488,442,984,171 is 12854079576.
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FAQs on LCM of 578, 488, 442, 984, 171
1. What is the LCM of 578, 488, 442, 984, 171?
Answer: LCM of 578, 488, 442, 984, 171 is 12854079576.
2. How to calculate the LCM of 578, 488, 442, 984, 171?
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 578, 488, 442, 984, 171.
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}.