LCM of 489, 262, 270, 433
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 262, 270, 433 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, 262, 270, 433. So, keep reading to learn more.
Given numbers are 489,262,270,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,262,270,433 is 2496379230.
Find LCM of 489,262,270,433 with Prime Factorization
| 2 | 489, 262, 270, 433 |
| 3 | 489, 131, 135, 433 |
| 163, 131, 45, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 131 x 45 x 433 = 2496379230
Therefore, the lowest common multiple of 489,262,270,433 is 2496379230.
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 262 x 270 x 433 = 14978275380
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
262 : 1, 2, 131, 262
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,262,270,433, is 1.
Now, the common factors can be found like this.
489:3x 163
262:2x 131
270:2x 3x 3x 3x 5
433:433
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 14978275380/(1x6)
LCM = 14978275380/6
LCM = 2496379230
Thus, we can understand that the LCM of 489,262,270,433 is 2496379230.
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FAQs on LCM of 489, 262, 270, 433
1. What is the LCM of 489, 262, 270, 433?
Answer: LCM of 489, 262, 270, 433 is 2496379230.
2. How to calculate the LCM of 489, 262, 270, 433?
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, 262, 270, 433.
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}.