Find the LCM of 869, 901, 504, 198, 204 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 869, 901, 504, 198, 204. So, keep reading to learn more.
Given numbers are 869,901,504,198,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,901,504,198,204 is 394616376.
Find LCM of 869,901,504,198,204 with Prime Factorization
2 | 869, 901, 504, 198, 204 |
2 | 869, 901, 252, 99, 102 |
3 | 869, 901, 126, 99, 51 |
3 | 869, 901, 42, 33, 17 |
11 | 869, 901, 14, 11, 17 |
17 | 79, 901, 14, 1, 17 |
79, 53, 14, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 17 x 79 x 53 x 14 x 1 x 1 = 394616376
Therefore, the lowest common multiple of 869,901,504,198,204 is 394616376.
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.
869 x 901 x 504 x 198 x 204 = 15939344659392
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.
869 : 1, 11, 79, 869
901 : 1, 17, 53, 901
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,901,504,198,204, is 1.
Now, the common factors can be found like this.
869:11x 79
901:17x 53
504:2x 2x 2x 3x 3x 7
198:2x 3x 3x 11
204:2x 2x 3x 17
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 3x 3x 3x 11x 17 = 40392
Therefore, the value for common factors is 40392.
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 = 15939344659392/(1x40392)
LCM = 15939344659392/40392
LCM = 394616376
Thus, we can understand that the LCM of 869,901,504,198,204 is 394616376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 869, 901, 504, 198, 204?
Answer: LCM of 869, 901, 504, 198, 204 is 394616376.
2. How to calculate the LCM of 869, 901, 504, 198, 204?
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 869, 901, 504, 198, 204.
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}.