Find the LCM of 498, 500, 319, 214, 408 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 498, 500, 319, 214, 408. So, keep reading to learn more.
Given numbers are 498,500,319,214,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,500,319,214,408 is 144484989000.
Find LCM of 498,500,319,214,408 with Prime Factorization
2 | 498, 500, 319, 214, 408 |
2 | 249, 250, 319, 107, 204 |
3 | 249, 125, 319, 107, 102 |
83, 125, 319, 107, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 125 x 319 x 107 x 34 = 144484989000
Therefore, the lowest common multiple of 498,500,319,214,408 is 144484989000.
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.
498 x 500 x 319 x 214 x 408 = 6935279472000
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
319 : 1, 11, 29, 319
214 : 1, 2, 107, 214
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,500,319,214,408, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
500:2x 2x 5x 5x 5
319:11x 29
214:2x 107
408:2x 2x 2x 3x 17
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 6935279472000/(1x48)
LCM = 6935279472000/48
LCM = 144484989000
Thus, we can understand that the LCM of 498,500,319,214,408 is 144484989000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 498, 500, 319, 214, 408?
Answer: LCM of 498, 500, 319, 214, 408 is 144484989000.
2. How to calculate the LCM of 498, 500, 319, 214, 408?
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 498, 500, 319, 214, 408.
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}.