Find the LCM of 359, 301, 215, 273 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 359, 301, 215, 273. So, keep reading to learn more.
Given numbers are 359,301,215,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,301,215,273 is 21071505.
Find LCM of 359,301,215,273 with Prime Factorization
7 | 359, 301, 215, 273 |
43 | 359, 43, 215, 39 |
359, 1, 5, 39 |
Multiply the prime numbers at the bottom and the left side.
7 x 43 x 359 x 1 x 5 x 39 = 21071505
Therefore, the lowest common multiple of 359,301,215,273 is 21071505.
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.
359 x 301 x 215 x 273 = 6342523005
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.
359 : 1, 359
301 : 1, 7, 43, 301
215 : 1, 5, 43, 215
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,301,215,273, is 1.
Now, the common factors can be found like this.
359:359
301:7x 43
215:5x 43
273:3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 43 = 301
Therefore, the value for common factors is 301.
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 = 6342523005/(1x301)
LCM = 6342523005/301
LCM = 21071505
Thus, we can understand that the LCM of 359,301,215,273 is 21071505.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 359, 301, 215, 273?
Answer: LCM of 359, 301, 215, 273 is 21071505.
2. How to calculate the LCM of 359, 301, 215, 273?
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 359, 301, 215, 273.
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}.