Find the LCM of 401, 210, 162, 324, 449 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 401, 210, 162, 324, 449. So, keep reading to learn more.
Given numbers are 401,210,162,324,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,210,162,324,449 is 2041755660.
Find LCM of 401,210,162,324,449 with Prime Factorization
2 | 401, 210, 162, 324, 449 |
3 | 401, 105, 81, 162, 449 |
3 | 401, 35, 27, 54, 449 |
3 | 401, 35, 9, 18, 449 |
3 | 401, 35, 3, 6, 449 |
401, 35, 1, 2, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 401 x 35 x 1 x 2 x 449 = 2041755660
Therefore, the lowest common multiple of 401,210,162,324,449 is 2041755660.
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.
401 x 210 x 162 x 324 x 449 = 1984586501520
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.
401 : 1, 401
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,210,162,324,449, is 1.
Now, the common factors can be found like this.
401:401
210:2x 3x 5x 7
162:2x 3x 3x 3x 3
324:2x 2x 3x 3x 3x 3
449:449
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 3 = 972
Therefore, the value for common factors is 972.
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 = 1984586501520/(1x972)
LCM = 1984586501520/972
LCM = 2041755660
Thus, we can understand that the LCM of 401,210,162,324,449 is 2041755660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 401, 210, 162, 324, 449?
Answer: LCM of 401, 210, 162, 324, 449 is 2041755660.
2. How to calculate the LCM of 401, 210, 162, 324, 449?
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 401, 210, 162, 324, 449.
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}.