Find the LCM of 447, 339, 767, 829 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 447, 339, 767, 829. So, keep reading to learn more.
Given numbers are 447,339,767,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,339,767,829 is 32117065773.
Find LCM of 447,339,767,829 with Prime Factorization
3 | 447, 339, 767, 829 |
149, 113, 767, 829 |
Multiply the prime numbers at the bottom and the left side.
3 x 149 x 113 x 767 x 829 = 32117065773
Therefore, the lowest common multiple of 447,339,767,829 is 32117065773.
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.
447 x 339 x 767 x 829 = 96351197319
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.
447 : 1, 3, 149, 447
339 : 1, 3, 113, 339
767 : 1, 13, 59, 767
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,339,767,829, is 1.
Now, the common factors can be found like this.
447:3x 149
339:3x 113
767:13x 59
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 96351197319/(1x3)
LCM = 96351197319/3
LCM = 32117065773
Thus, we can understand that the LCM of 447,339,767,829 is 32117065773.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 447, 339, 767, 829?
Answer: LCM of 447, 339, 767, 829 is 32117065773.
2. How to calculate the LCM of 447, 339, 767, 829?
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 447, 339, 767, 829.
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}.