LCM of 218, 278, 413, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 278, 413, 290 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 218, 278, 413, 290. So, keep reading to learn more.
Given numbers are 218,278,413,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,278,413,290 is 1814635270.
Find LCM of 218,278,413,290 with Prime Factorization
| 2 | 218, 278, 413, 290 |
| 109, 139, 413, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 139 x 413 x 145 = 1814635270
Therefore, the lowest common multiple of 218,278,413,290 is 1814635270.
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.
218 x 278 x 413 x 290 = 7258541080
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.
218 : 1, 2, 109, 218
278 : 1, 2, 139, 278
413 : 1, 7, 59, 413
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,278,413,290, is 1.
Now, the common factors can be found like this.
218:2x 109
278:2x 139
413:7x 59
290:2x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 7258541080/(1x4)
LCM = 7258541080/4
LCM = 1814635270
Thus, we can understand that the LCM of 218,278,413,290 is 1814635270.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 218, 278, 413, 290
1. What is the LCM of 218, 278, 413, 290?
Answer: LCM of 218, 278, 413, 290 is 1814635270.
2. How to calculate the LCM of 218, 278, 413, 290?
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 218, 278, 413, 290.
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}.