Find the LCM of 415, 988, 950, 507 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 415, 988, 950, 507. So, keep reading to learn more.
Given numbers are 415,988,950,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,988,950,507 is 79953900.
Find LCM of 415,988,950,507 with Prime Factorization
2 | 415, 988, 950, 507 |
5 | 415, 494, 475, 507 |
13 | 83, 494, 95, 507 |
19 | 83, 38, 95, 39 |
83, 2, 5, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 19 x 83 x 2 x 5 x 39 = 79953900
Therefore, the lowest common multiple of 415,988,950,507 is 79953900.
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.
415 x 988 x 950 x 507 = 197486133000
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.
415 : 1, 5, 83, 415
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,988,950,507, is 1.
Now, the common factors can be found like this.
415:5x 83
988:2x 2x 13x 19
950:2x 5x 5x 19
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 19 = 2470
Therefore, the value for common factors is 2470.
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 = 197486133000/(1x2470)
LCM = 197486133000/2470
LCM = 79953900
Thus, we can understand that the LCM of 415,988,950,507 is 79953900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 415, 988, 950, 507?
Answer: LCM of 415, 988, 950, 507 is 79953900.
2. How to calculate the LCM of 415, 988, 950, 507?
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 415, 988, 950, 507.
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}.