LCM of 201, 912, 328, 561, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 201, 912, 328, 561, 648 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 201, 912, 328, 561, 648. So, keep reading to learn more.
Given numbers are 201,912,328,561,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 201,912,328,561,648 is 12649077936.
Find LCM of 201,912,328,561,648 with Prime Factorization
| 2 | 201, 912, 328, 561, 648 |
| 2 | 201, 456, 164, 561, 324 |
| 2 | 201, 228, 82, 561, 162 |
| 3 | 201, 114, 41, 561, 81 |
| 67, 38, 41, 187, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 67 x 38 x 41 x 187 x 27 = 12649077936
Therefore, the lowest common multiple of 201,912,328,561,648 is 12649077936.
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.
201 x 912 x 328 x 561 x 648 = 21857606673408
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.
201 : 1, 3, 67, 201
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
328 : 1, 2, 4, 8, 41, 82, 164, 328
561 : 1, 3, 11, 17, 33, 51, 187, 561
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,912,328,561,648, is 1.
Now, the common factors can be found like this.
201:3x 67
912:2x 2x 2x 2x 3x 19
328:2x 2x 2x 41
561:3x 11x 17
648:2x 2x 2x 3x 3x 3x 3
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 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 21857606673408/(1x1728)
LCM = 21857606673408/1728
LCM = 12649077936
Thus, we can understand that the LCM of 201,912,328,561,648 is 12649077936.
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FAQs on LCM of 201, 912, 328, 561, 648
1. What is the LCM of 201, 912, 328, 561, 648?
Answer: LCM of 201, 912, 328, 561, 648 is 12649077936.
2. How to calculate the LCM of 201, 912, 328, 561, 648?
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 201, 912, 328, 561, 648.
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}.