Find the LCM of 338, 507, 415, 611, 607 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, 507, 415, 611, 607. So, keep reading to learn more.
Given numbers are 338,507,415,611,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,507,415,611,607 is 12005288490.
Find LCM of 338,507,415,611,607 with Prime Factorization
13 | 338, 507, 415, 611, 607 |
13 | 26, 39, 415, 47, 607 |
2, 3, 415, 47, 607 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 2 x 3 x 415 x 47 x 607 = 12005288490
Therefore, the lowest common multiple of 338,507,415,611,607 is 12005288490.
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 507 x 415 x 611 x 607 = 26375618812530
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
507 : 1, 3, 13, 39, 169, 507
415 : 1, 5, 83, 415
611 : 1, 13, 47, 611
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,507,415,611,607, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
507:3x 13x 13
415:5x 83
611:13x 47
607:607
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 13 = 2197
Therefore, the value for common factors is 2197.
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 = 26375618812530/(1x2197)
LCM = 26375618812530/2197
LCM = 12005288490
Thus, we can understand that the LCM of 338,507,415,611,607 is 12005288490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 507, 415, 611, 607?
Answer: LCM of 338, 507, 415, 611, 607 is 12005288490.
2. How to calculate the LCM of 338, 507, 415, 611, 607?
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, 507, 415, 611, 607.
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}.