Find the LCM of 240, 591, 165, 930 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, 591, 165, 930. So, keep reading to learn more.
Given numbers are 240,591,165,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,591,165,930 is 16122480.
Find LCM of 240,591,165,930 with Prime Factorization
2 | 240, 591, 165, 930 |
3 | 120, 591, 165, 465 |
5 | 40, 197, 55, 155 |
8, 197, 11, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 8 x 197 x 11 x 31 = 16122480
Therefore, the lowest common multiple of 240,591,165,930 is 16122480.
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 591 x 165 x 930 = 21765348000
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
591 : 1, 3, 197, 591
165 : 1, 3, 5, 11, 15, 33, 55, 165
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,591,165,930, is 3.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
591:3x 197
165:3x 5x 11
930:2x 3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 21765348000/(3x450)
LCM = 21765348000/1350
LCM = 16122480
Thus, we can understand that the LCM of 240,591,165,930 is 16122480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 240, 591, 165, 930?
Answer: LCM of 240, 591, 165, 930 is 16122480.
2. How to calculate the LCM of 240, 591, 165, 930?
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, 591, 165, 930.
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}.