Find the LCM of 449, 369, 507, 697 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 449, 369, 507, 697. So, keep reading to learn more.
Given numbers are 449,369,507,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,369,507,697 is 476001513.
Find LCM of 449,369,507,697 with Prime Factorization
3 | 449, 369, 507, 697 |
41 | 449, 123, 169, 697 |
449, 3, 169, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 449 x 3 x 169 x 17 = 476001513
Therefore, the lowest common multiple of 449,369,507,697 is 476001513.
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.
449 x 369 x 507 x 697 = 58548186099
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.
449 : 1, 449
369 : 1, 3, 9, 41, 123, 369
507 : 1, 3, 13, 39, 169, 507
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,369,507,697, is 1.
Now, the common factors can be found like this.
449:449
369:3x 3x 41
507:3x 13x 13
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 41 = 123
Therefore, the value for common factors is 123.
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 = 58548186099/(1x123)
LCM = 58548186099/123
LCM = 476001513
Thus, we can understand that the LCM of 449,369,507,697 is 476001513.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 449, 369, 507, 697?
Answer: LCM of 449, 369, 507, 697 is 476001513.
2. How to calculate the LCM of 449, 369, 507, 697?
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 449, 369, 507, 697.
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}.