Find the LCM of 998, 399, 829, 604, 738 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 998, 399, 829, 604, 738. So, keep reading to learn more.
Given numbers are 998,399,829,604,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,399,829,604,738 is 12262245926868.
Find LCM of 998,399,829,604,738 with Prime Factorization
2 | 998, 399, 829, 604, 738 |
3 | 499, 399, 829, 302, 369 |
499, 133, 829, 302, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 499 x 133 x 829 x 302 x 123 = 12262245926868
Therefore, the lowest common multiple of 998,399,829,604,738 is 12262245926868.
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.
998 x 399 x 829 x 604 x 738 = 147146951122416
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.
998 : 1, 2, 499, 998
399 : 1, 3, 7, 19, 21, 57, 133, 399
829 : 1, 829
604 : 1, 2, 4, 151, 302, 604
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,399,829,604,738, is 1.
Now, the common factors can be found like this.
998:2x 499
399:3x 7x 19
829:829
604:2x 2x 151
738:2x 3x 3x 41
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 3 = 12
Therefore, the value for common factors is 12.
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 = 147146951122416/(1x12)
LCM = 147146951122416/12
LCM = 12262245926868
Thus, we can understand that the LCM of 998,399,829,604,738 is 12262245926868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 399, 829, 604, 738?
Answer: LCM of 998, 399, 829, 604, 738 is 12262245926868.
2. How to calculate the LCM of 998, 399, 829, 604, 738?
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 998, 399, 829, 604, 738.
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}.