LCM of 489, 486, 972, 486, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 486, 972, 486, 413 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 489, 486, 972, 486, 413. So, keep reading to learn more.
Given numbers are 489,486,972,486,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,486,972,486,413 is 65434068.
Find LCM of 489,486,972,486,413 with Prime Factorization
| 2 | 489, 486, 972, 486, 413 |
| 3 | 489, 243, 486, 243, 413 |
| 3 | 163, 81, 162, 81, 413 |
| 3 | 163, 27, 54, 27, 413 |
| 3 | 163, 9, 18, 9, 413 |
| 3 | 163, 3, 6, 3, 413 |
| 163, 1, 2, 1, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 3 x 163 x 1 x 2 x 1 x 413 = 65434068
Therefore, the lowest common multiple of 489,486,972,486,413 is 65434068.
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.
489 x 486 x 972 x 486 x 413 = 46365795375984
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.
489 : 1, 3, 163, 489
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,486,972,486,413, is 1.
Now, the common factors can be found like this.
489:3x 163
486:2x 3x 3x 3x 3x 3
972:2x 2x 3x 3x 3x 3x 3
486:2x 3x 3x 3x 3x 3
413:7x 59
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 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3 = 708588
Therefore, the value for common factors is 708588.
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 = 46365795375984/(1x708588)
LCM = 46365795375984/708588
LCM = 65434068
Thus, we can understand that the LCM of 489,486,972,486,413 is 65434068.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 489, 486, 972, 486, 413
1. What is the LCM of 489, 486, 972, 486, 413?
Answer: LCM of 489, 486, 972, 486, 413 is 65434068.
2. How to calculate the LCM of 489, 486, 972, 486, 413?
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 489, 486, 972, 486, 413.
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}.