Find the LCM of 803, 329, 219, 504 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 803, 329, 219, 504. So, keep reading to learn more.
Given numbers are 803,329,219,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,329,219,504 is 19021464.
Find LCM of 803,329,219,504 with Prime Factorization
3 | 803, 329, 219, 504 |
7 | 803, 329, 73, 168 |
73 | 803, 47, 73, 24 |
11, 47, 1, 24 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 73 x 11 x 47 x 1 x 24 = 19021464
Therefore, the lowest common multiple of 803,329,219,504 is 19021464.
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.
803 x 329 x 219 x 504 = 29159904312
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.
803 : 1, 11, 73, 803
329 : 1, 7, 47, 329
219 : 1, 3, 73, 219
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,329,219,504, is 1.
Now, the common factors can be found like this.
803:11x 73
329:7x 47
219:3x 73
504:2x 2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 73 = 1533
Therefore, the value for common factors is 1533.
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 = 29159904312/(1x1533)
LCM = 29159904312/1533
LCM = 19021464
Thus, we can understand that the LCM of 803,329,219,504 is 19021464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 803, 329, 219, 504?
Answer: LCM of 803, 329, 219, 504 is 19021464.
2. How to calculate the LCM of 803, 329, 219, 504?
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 803, 329, 219, 504.
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}.