LCM of 259, 438, 489, 502, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 438, 489, 502, 642 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 259, 438, 489, 502, 642. So, keep reading to learn more.
Given numbers are 259,438,489,502,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,438,489,502,642 is 496614022422.
Find LCM of 259,438,489,502,642 with Prime Factorization
| 2 | 259, 438, 489, 502, 642 |
| 3 | 259, 219, 489, 251, 321 |
| 259, 73, 163, 251, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 259 x 73 x 163 x 251 x 107 = 496614022422
Therefore, the lowest common multiple of 259,438,489,502,642 is 496614022422.
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.
259 x 438 x 489 x 502 x 642 = 17878104807192
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.
259 : 1, 7, 37, 259
438 : 1, 2, 3, 6, 73, 146, 219, 438
489 : 1, 3, 163, 489
502 : 1, 2, 251, 502
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,438,489,502,642, is 1.
Now, the common factors can be found like this.
259:7x 37
438:2x 3x 73
489:3x 163
502:2x 251
642:2x 3x 107
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 3 = 36
Therefore, the value for common factors is 36.
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 = 17878104807192/(1x36)
LCM = 17878104807192/36
LCM = 496614022422
Thus, we can understand that the LCM of 259,438,489,502,642 is 496614022422.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 259, 438, 489, 502, 642
1. What is the LCM of 259, 438, 489, 502, 642?
Answer: LCM of 259, 438, 489, 502, 642 is 496614022422.
2. How to calculate the LCM of 259, 438, 489, 502, 642?
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 259, 438, 489, 502, 642.
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}.