Find the LCM of 828, 322, 368, 385 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 828, 322, 368, 385. So, keep reading to learn more.
Given numbers are 828,322,368,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,322,368,385 is 1275120.
Find LCM of 828,322,368,385 with Prime Factorization
2 | 828, 322, 368, 385 |
2 | 414, 161, 184, 385 |
7 | 207, 161, 92, 385 |
23 | 207, 23, 92, 55 |
9, 1, 4, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 9 x 1 x 4 x 55 = 1275120
Therefore, the lowest common multiple of 828,322,368,385 is 1275120.
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.
828 x 322 x 368 x 385 = 37774154880
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
322 : 1, 2, 7, 14, 23, 46, 161, 322
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,322,368,385, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
322:2x 7x 23
368:2x 2x 2x 2x 23
385:5x 7x 11
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 7x 23x 23 = 29624
Therefore, the value for common factors is 29624.
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 = 37774154880/(1x29624)
LCM = 37774154880/29624
LCM = 1275120
Thus, we can understand that the LCM of 828,322,368,385 is 1275120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 322, 368, 385?
Answer: LCM of 828, 322, 368, 385 is 1275120.
2. How to calculate the LCM of 828, 322, 368, 385?
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 828, 322, 368, 385.
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}.