LCM of 489, 804, 264, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 804, 264, 268 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, 804, 264, 268. So, keep reading to learn more.
Given numbers are 489,804,264,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,804,264,268 is 2883144.
Find LCM of 489,804,264,268 with Prime Factorization
| 2 | 489, 804, 264, 268 |
| 2 | 489, 402, 132, 134 |
| 3 | 489, 201, 66, 67 |
| 67 | 163, 67, 22, 67 |
| 163, 1, 22, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 163 x 1 x 22 x 1 = 2883144
Therefore, the lowest common multiple of 489,804,264,268 is 2883144.
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 804 x 264 x 268 = 27816573312
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
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,804,264,268, is 1.
Now, the common factors can be found like this.
489:3x 163
804:2x 2x 3x 67
264:2x 2x 2x 3x 11
268:2x 2x 67
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 3x 3x 67 = 9648
Therefore, the value for common factors is 9648.
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 = 27816573312/(1x9648)
LCM = 27816573312/9648
LCM = 2883144
Thus, we can understand that the LCM of 489,804,264,268 is 2883144.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 489, 804, 264, 268
1. What is the LCM of 489, 804, 264, 268?
Answer: LCM of 489, 804, 264, 268 is 2883144.
2. How to calculate the LCM of 489, 804, 264, 268?
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, 804, 264, 268.
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}.