Find the LCM of 338, 571, 338, 406, 478 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 338, 571, 338, 406, 478. So, keep reading to learn more.
Given numbers are 338,571,338,406,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,571,338,406,478 is 9363683966.
Find LCM of 338,571,338,406,478 with Prime Factorization
2 | 338, 571, 338, 406, 478 |
13 | 169, 571, 169, 203, 239 |
13 | 13, 571, 13, 203, 239 |
1, 571, 1, 203, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 1 x 571 x 1 x 203 x 239 = 9363683966
Therefore, the lowest common multiple of 338,571,338,406,478 is 9363683966.
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.
338 x 571 x 338 x 406 x 478 = 12659700722032
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.
338 : 1, 2, 13, 26, 169, 338
571 : 1, 571
338 : 1, 2, 13, 26, 169, 338
406 : 1, 2, 7, 14, 29, 58, 203, 406
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,571,338,406,478, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
571:571
338:2x 13x 13
406:2x 7x 29
478:2x 239
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 2x 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 12659700722032/(1x1352)
LCM = 12659700722032/1352
LCM = 9363683966
Thus, we can understand that the LCM of 338,571,338,406,478 is 9363683966.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 571, 338, 406, 478?
Answer: LCM of 338, 571, 338, 406, 478 is 9363683966.
2. How to calculate the LCM of 338, 571, 338, 406, 478?
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 338, 571, 338, 406, 478.
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}.