LCM of 257, 978, 460, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 978, 460, 489 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 257, 978, 460, 489. So, keep reading to learn more.
Given numbers are 257,978,460,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,978,460,489 is 57809580.
Find LCM of 257,978,460,489 with Prime Factorization
| 2 | 257, 978, 460, 489 |
| 3 | 257, 489, 230, 489 |
| 163 | 257, 163, 230, 163 |
| 257, 1, 230, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 257 x 1 x 230 x 1 = 57809580
Therefore, the lowest common multiple of 257,978,460,489 is 57809580.
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.
257 x 978 x 460 x 489 = 56537769240
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.
257 : 1, 257
978 : 1, 2, 3, 6, 163, 326, 489, 978
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,978,460,489, is 1.
Now, the common factors can be found like this.
257:257
978:2x 3x 163
460:2x 2x 5x 23
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 163 = 978
Therefore, the value for common factors is 978.
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 = 56537769240/(1x978)
LCM = 56537769240/978
LCM = 57809580
Thus, we can understand that the LCM of 257,978,460,489 is 57809580.
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FAQs on LCM of 257, 978, 460, 489
1. What is the LCM of 257, 978, 460, 489?
Answer: LCM of 257, 978, 460, 489 is 57809580.
2. How to calculate the LCM of 257, 978, 460, 489?
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 257, 978, 460, 489.
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}.