Find the LCM of 303, 418, 698, 331, 380 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 303, 418, 698, 331, 380. So, keep reading to learn more.
Given numbers are 303,418,698,331,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,418,698,331,380 is 146309434260.
Find LCM of 303,418,698,331,380 with Prime Factorization
2 | 303, 418, 698, 331, 380 |
19 | 303, 209, 349, 331, 190 |
303, 11, 349, 331, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 303 x 11 x 349 x 331 x 10 = 146309434260
Therefore, the lowest common multiple of 303,418,698,331,380 is 146309434260.
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.
303 x 418 x 698 x 331 x 380 = 11119517003760
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.
303 : 1, 3, 101, 303
418 : 1, 2, 11, 19, 22, 38, 209, 418
698 : 1, 2, 349, 698
331 : 1, 331
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,418,698,331,380, is 1.
Now, the common factors can be found like this.
303:3x 101
418:2x 11x 19
698:2x 349
331:331
380:2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 19 = 76
Therefore, the value for common factors is 76.
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 = 11119517003760/(1x76)
LCM = 11119517003760/76
LCM = 146309434260
Thus, we can understand that the LCM of 303,418,698,331,380 is 146309434260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 303, 418, 698, 331, 380?
Answer: LCM of 303, 418, 698, 331, 380 is 146309434260.
2. How to calculate the LCM of 303, 418, 698, 331, 380?
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 303, 418, 698, 331, 380.
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}.