Find the LCM of 808, 361, 760, 315, 923 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 808, 361, 760, 315, 923. So, keep reading to learn more.
Given numbers are 808,361,760,315,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,361,760,315,923 is 84806827560.
Find LCM of 808,361,760,315,923 with Prime Factorization
2 | 808, 361, 760, 315, 923 |
2 | 404, 361, 380, 315, 923 |
2 | 202, 361, 190, 315, 923 |
5 | 101, 361, 95, 315, 923 |
19 | 101, 361, 19, 63, 923 |
101, 1, 19, 63, 923 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 101 x 1 x 19 x 63 x 923 = 84806827560
Therefore, the lowest common multiple of 808,361,760,315,923 is 84806827560.
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.
808 x 361 x 760 x 315 x 923 = 64453188945600
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
361 : 1, 19, 361
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,361,760,315,923, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
361:19x 19
760:2x 2x 2x 5x 19
315:3x 3x 5x 7
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 19 = 760
Therefore, the value for common factors is 760.
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 = 64453188945600/(1x760)
LCM = 64453188945600/760
LCM = 84806827560
Thus, we can understand that the LCM of 808,361,760,315,923 is 84806827560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 361, 760, 315, 923?
Answer: LCM of 808, 361, 760, 315, 923 is 84806827560.
2. How to calculate the LCM of 808, 361, 760, 315, 923?
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 808, 361, 760, 315, 923.
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}.