Find the LCM of 162, 318, 201, 505, 795 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 162, 318, 201, 505, 795. So, keep reading to learn more.
Given numbers are 162,318,201,505,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,318,201,505,795 is 290507310.
Find LCM of 162,318,201,505,795 with Prime Factorization
2 | 162, 318, 201, 505, 795 |
3 | 81, 159, 201, 505, 795 |
5 | 27, 53, 67, 505, 265 |
53 | 27, 53, 67, 101, 53 |
27, 1, 67, 101, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 53 x 27 x 1 x 67 x 101 x 1 = 290507310
Therefore, the lowest common multiple of 162,318,201,505,795 is 290507310.
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.
162 x 318 x 201 x 505 x 795 = 4157159606100
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
318 : 1, 2, 3, 6, 53, 106, 159, 318
201 : 1, 3, 67, 201
505 : 1, 5, 101, 505
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,318,201,505,795, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
318:2x 3x 53
201:3x 67
505:5x 101
795:3x 5x 53
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 3x 5x 53 = 14310
Therefore, the value for common factors is 14310.
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 = 4157159606100/(1x14310)
LCM = 4157159606100/14310
LCM = 290507310
Thus, we can understand that the LCM of 162,318,201,505,795 is 290507310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 162, 318, 201, 505, 795?
Answer: LCM of 162, 318, 201, 505, 795 is 290507310.
2. How to calculate the LCM of 162, 318, 201, 505, 795?
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 162, 318, 201, 505, 795.
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}.