Find the LCM of 240, 352, 456, 388, 162 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 240, 352, 456, 388, 162. So, keep reading to learn more.
Given numbers are 240,352,456,388,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,352,456,388,162 is 262738080.
Find LCM of 240,352,456,388,162 with Prime Factorization
2 | 240, 352, 456, 388, 162 |
2 | 120, 176, 228, 194, 81 |
2 | 60, 88, 114, 97, 81 |
2 | 30, 44, 57, 97, 81 |
3 | 15, 22, 57, 97, 81 |
5, 22, 19, 97, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 22 x 19 x 97 x 27 = 262738080
Therefore, the lowest common multiple of 240,352,456,388,162 is 262738080.
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.
240 x 352 x 456 x 388 x 162 = 2421394145280
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
388 : 1, 2, 4, 97, 194, 388
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,352,456,388,162, is 2.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
352:2x 2x 2x 2x 2x 11
456:2x 2x 2x 3x 19
388:2x 2x 97
162:2x 3x 3x 3x 3
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 2x 2x 2x 2x 2x 2x 3x 3 = 4608
Therefore, the value for common factors is 4608.
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 = 2421394145280/(2x4608)
LCM = 2421394145280/9216
LCM = 262738080
Thus, we can understand that the LCM of 240,352,456,388,162 is 262738080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 240, 352, 456, 388, 162?
Answer: LCM of 240, 352, 456, 388, 162 is 262738080.
2. How to calculate the LCM of 240, 352, 456, 388, 162?
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 240, 352, 456, 388, 162.
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}.