Find the LCM of 205, 337, 303, 340, 518 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 205, 337, 303, 340, 518. So, keep reading to learn more.
Given numbers are 205,337,303,340,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,337,303,340,518 is 368667681060.
Find LCM of 205,337,303,340,518 with Prime Factorization
2 | 205, 337, 303, 340, 518 |
5 | 205, 337, 303, 170, 259 |
41, 337, 303, 34, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 41 x 337 x 303 x 34 x 259 = 368667681060
Therefore, the lowest common multiple of 205,337,303,340,518 is 368667681060.
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.
205 x 337 x 303 x 340 x 518 = 3686676810600
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.
205 : 1, 5, 41, 205
337 : 1, 337
303 : 1, 3, 101, 303
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,337,303,340,518, is 1.
Now, the common factors can be found like this.
205:5x 41
337:337
303:3x 101
340:2x 2x 5x 17
518:2x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 3686676810600/(1x10)
LCM = 3686676810600/10
LCM = 368667681060
Thus, we can understand that the LCM of 205,337,303,340,518 is 368667681060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 205, 337, 303, 340, 518?
Answer: LCM of 205, 337, 303, 340, 518 is 368667681060.
2. How to calculate the LCM of 205, 337, 303, 340, 518?
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 205, 337, 303, 340, 518.
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}.