Find the LCM of 497, 339, 513, 684 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 497, 339, 513, 684. So, keep reading to learn more.
Given numbers are 497,339,513,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,339,513,684 is 115242372.
Find LCM of 497,339,513,684 with Prime Factorization
3 | 497, 339, 513, 684 |
3 | 497, 113, 171, 228 |
19 | 497, 113, 57, 76 |
497, 113, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 497 x 113 x 3 x 4 = 115242372
Therefore, the lowest common multiple of 497,339,513,684 is 115242372.
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.
497 x 339 x 513 x 684 = 59119336836
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.
497 : 1, 7, 71, 497
339 : 1, 3, 113, 339
513 : 1, 3, 9, 19, 27, 57, 171, 513
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,339,513,684, is 1.
Now, the common factors can be found like this.
497:7x 71
339:3x 113
513:3x 3x 3x 19
684:2x 2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 19 = 513
Therefore, the value for common factors is 513.
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 = 59119336836/(1x513)
LCM = 59119336836/513
LCM = 115242372
Thus, we can understand that the LCM of 497,339,513,684 is 115242372.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 339, 513, 684?
Answer: LCM of 497, 339, 513, 684 is 115242372.
2. How to calculate the LCM of 497, 339, 513, 684?
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 497, 339, 513, 684.
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}.