LCM of 558, 238, 687, 217, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 238, 687, 217, 505 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 558, 238, 687, 217, 505. So, keep reading to learn more.
Given numbers are 558,238,687,217,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,238,687,217,505 is 7679059290.
Find LCM of 558,238,687,217,505 with Prime Factorization
| 2 | 558, 238, 687, 217, 505 |
| 3 | 279, 119, 687, 217, 505 |
| 7 | 93, 119, 229, 217, 505 |
| 31 | 93, 17, 229, 31, 505 |
| 3, 17, 229, 1, 505 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 3 x 17 x 229 x 1 x 505 = 7679059290
Therefore, the lowest common multiple of 558,238,687,217,505 is 7679059290.
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.
558 x 238 x 687 x 217 x 505 = 9998135195580
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
238 : 1, 2, 7, 14, 17, 34, 119, 238
687 : 1, 3, 229, 687
217 : 1, 7, 31, 217
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,238,687,217,505, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
238:2x 7x 17
687:3x 229
217:7x 31
505:5x 101
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 7x 31 = 1302
Therefore, the value for common factors is 1302.
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 = 9998135195580/(1x1302)
LCM = 9998135195580/1302
LCM = 7679059290
Thus, we can understand that the LCM of 558,238,687,217,505 is 7679059290.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 558, 238, 687, 217, 505
1. What is the LCM of 558, 238, 687, 217, 505?
Answer: LCM of 558, 238, 687, 217, 505 is 7679059290.
2. How to calculate the LCM of 558, 238, 687, 217, 505?
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 558, 238, 687, 217, 505.
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}.