Find the LCM of 396, 924, 269, 309, 225 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 396, 924, 269, 309, 225. So, keep reading to learn more.
Given numbers are 396,924,269,309,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,924,269,309,225 is 1920095100.
Find LCM of 396,924,269,309,225 with Prime Factorization
2 | 396, 924, 269, 309, 225 |
2 | 198, 462, 269, 309, 225 |
3 | 99, 231, 269, 309, 225 |
3 | 33, 77, 269, 103, 75 |
11 | 11, 77, 269, 103, 25 |
1, 7, 269, 103, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 1 x 7 x 269 x 103 x 25 = 1920095100
Therefore, the lowest common multiple of 396,924,269,309,225 is 1920095100.
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.
396 x 924 x 269 x 309 x 225 = 6843218936400
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
269 : 1, 269
309 : 1, 3, 103, 309
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,924,269,309,225, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
924:2x 2x 3x 7x 11
269:269
309:3x 103
225:3x 3x 5x 5
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 3x 3x 3x 3x 11 = 3564
Therefore, the value for common factors is 3564.
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 = 6843218936400/(1x3564)
LCM = 6843218936400/3564
LCM = 1920095100
Thus, we can understand that the LCM of 396,924,269,309,225 is 1920095100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 924, 269, 309, 225?
Answer: LCM of 396, 924, 269, 309, 225 is 1920095100.
2. How to calculate the LCM of 396, 924, 269, 309, 225?
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 396, 924, 269, 309, 225.
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}.