LCM of 489, 144, 162, 950, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 144, 162, 950, 266 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, 144, 162, 950, 266. So, keep reading to learn more.
Given numbers are 489,144,162,950,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,144,162,950,266 is 702399600.
Find LCM of 489,144,162,950,266 with Prime Factorization
| 2 | 489, 144, 162, 950, 266 |
| 3 | 489, 72, 81, 475, 133 |
| 3 | 163, 24, 27, 475, 133 |
| 19 | 163, 8, 9, 475, 133 |
| 163, 8, 9, 25, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 163 x 8 x 9 x 25 x 7 = 702399600
Therefore, the lowest common multiple of 489,144,162,950,266 is 702399600.
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 144 x 162 x 950 x 266 = 2882647958400
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
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,144,162,950,266, is 1.
Now, the common factors can be found like this.
489:3x 163
144:2x 2x 2x 2x 3x 3
162:2x 3x 3x 3x 3
950:2x 5x 5x 19
266:2x 7x 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 3x 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 2882647958400/(1x4104)
LCM = 2882647958400/4104
LCM = 702399600
Thus, we can understand that the LCM of 489,144,162,950,266 is 702399600.
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FAQs on LCM of 489, 144, 162, 950, 266
1. What is the LCM of 489, 144, 162, 950, 266?
Answer: LCM of 489, 144, 162, 950, 266 is 702399600.
2. How to calculate the LCM of 489, 144, 162, 950, 266?
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, 144, 162, 950, 266.
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}.