Find the LCM of 501, 167, 583, 108, 864 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 501, 167, 583, 108, 864. So, keep reading to learn more.
Given numbers are 501,167,583,108,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,167,583,108,864 is 84119904.
Find LCM of 501,167,583,108,864 with Prime Factorization
2 | 501, 167, 583, 108, 864 |
2 | 501, 167, 583, 54, 432 |
3 | 501, 167, 583, 27, 216 |
3 | 167, 167, 583, 9, 72 |
3 | 167, 167, 583, 3, 24 |
167 | 167, 167, 583, 1, 8 |
1, 1, 583, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 167 x 1 x 1 x 583 x 1 x 8 = 84119904
Therefore, the lowest common multiple of 501,167,583,108,864 is 84119904.
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.
501 x 167 x 583 x 108 x 864 = 4551559765632
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.
501 : 1, 3, 167, 501
167 : 1, 167
583 : 1, 11, 53, 583
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,167,583,108,864, is 1.
Now, the common factors can be found like this.
501:3x 167
167:167
583:11x 53
108:2x 2x 3x 3x 3
864:2x 2x 2x 2x 2x 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 3x 3x 3x 3x 167 = 54108
Therefore, the value for common factors is 54108.
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 = 4551559765632/(1x54108)
LCM = 4551559765632/54108
LCM = 84119904
Thus, we can understand that the LCM of 501,167,583,108,864 is 84119904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 501, 167, 583, 108, 864?
Answer: LCM of 501, 167, 583, 108, 864 is 84119904.
2. How to calculate the LCM of 501, 167, 583, 108, 864?
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 501, 167, 583, 108, 864.
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}.