Find the LCM of 829, 829, 143, 506 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 829, 829, 143, 506. So, keep reading to learn more.
Given numbers are 829,829,143,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,829,143,506 is 5453162.
Find LCM of 829,829,143,506 with Prime Factorization
11 | 829, 829, 143, 506 |
829 | 829, 829, 13, 46 |
1, 1, 13, 46 |
Multiply the prime numbers at the bottom and the left side.
11 x 829 x 1 x 1 x 13 x 46 = 5453162
Therefore, the lowest common multiple of 829,829,143,506 is 5453162.
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.
829 x 829 x 143 x 506 = 49727384278
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.
829 : 1, 829
829 : 1, 829
143 : 1, 11, 13, 143
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,829,143,506, is 1.
Now, the common factors can be found like this.
829:829
829:829
143:11x 13
506:2x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 829 = 9119
Therefore, the value for common factors is 9119.
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 = 49727384278/(1x9119)
LCM = 49727384278/9119
LCM = 5453162
Thus, we can understand that the LCM of 829,829,143,506 is 5453162.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 829, 143, 506?
Answer: LCM of 829, 829, 143, 506 is 5453162.
2. How to calculate the LCM of 829, 829, 143, 506?
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 829, 829, 143, 506.
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}.