Find the LCM of 377, 150, 507, 507, 808 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 377, 150, 507, 507, 808. So, keep reading to learn more.
Given numbers are 377,150,507,507,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,150,507,507,808 is 297000600.
Find LCM of 377,150,507,507,808 with Prime Factorization
2 | 377, 150, 507, 507, 808 |
3 | 377, 75, 507, 507, 404 |
13 | 377, 25, 169, 169, 404 |
13 | 29, 25, 13, 13, 404 |
29, 25, 1, 1, 404 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 29 x 25 x 1 x 1 x 404 = 297000600
Therefore, the lowest common multiple of 377,150,507,507,808 is 297000600.
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.
377 x 150 x 507 x 507 x 808 = 11745185727600
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.
377 : 1, 13, 29, 377
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
507 : 1, 3, 13, 39, 169, 507
507 : 1, 3, 13, 39, 169, 507
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,150,507,507,808, is 1.
Now, the common factors can be found like this.
377:13x 29
150:2x 3x 5x 5
507:3x 13x 13
507:3x 13x 13
808:2x 2x 2x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 13x 13 = 39546
Therefore, the value for common factors is 39546.
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 = 11745185727600/(1x39546)
LCM = 11745185727600/39546
LCM = 297000600
Thus, we can understand that the LCM of 377,150,507,507,808 is 297000600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 150, 507, 507, 808?
Answer: LCM of 377, 150, 507, 507, 808 is 297000600.
2. How to calculate the LCM of 377, 150, 507, 507, 808?
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 377, 150, 507, 507, 808.
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}.