Find the LCM of 664, 506, 913, 169 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 664, 506, 913, 169. So, keep reading to learn more.
Given numbers are 664,506,913,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,506,913,169 is 28390648.
Find LCM of 664,506,913,169 with Prime Factorization
2 | 664, 506, 913, 169 |
11 | 332, 253, 913, 169 |
83 | 332, 23, 83, 169 |
4, 23, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 83 x 4 x 23 x 1 x 169 = 28390648
Therefore, the lowest common multiple of 664,506,913,169 is 28390648.
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.
664 x 506 x 913 x 169 = 51841323248
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
506 : 1, 2, 11, 22, 23, 46, 253, 506
913 : 1, 11, 83, 913
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,506,913,169, is 1.
Now, the common factors can be found like this.
664:2x 2x 2x 83
506:2x 11x 23
913:11x 83
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 83 = 1826
Therefore, the value for common factors is 1826.
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 = 51841323248/(1x1826)
LCM = 51841323248/1826
LCM = 28390648
Thus, we can understand that the LCM of 664,506,913,169 is 28390648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 664, 506, 913, 169?
Answer: LCM of 664, 506, 913, 169 is 28390648.
2. How to calculate the LCM of 664, 506, 913, 169?
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 664, 506, 913, 169.
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}.