Find the LCM of 798, 391, 323, 101 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 798, 391, 323, 101. So, keep reading to learn more.
Given numbers are 798,391,323,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,391,323,101 is 31513818.
Find LCM of 798,391,323,101 with Prime Factorization
17 | 798, 391, 323, 101 |
19 | 798, 23, 19, 101 |
42, 23, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
17 x 19 x 42 x 23 x 1 x 101 = 31513818
Therefore, the lowest common multiple of 798,391,323,101 is 31513818.
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.
798 x 391 x 323 x 101 = 10178963214
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
391 : 1, 17, 23, 391
323 : 1, 17, 19, 323
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,391,323,101, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
391:17x 23
323:17x 19
101:101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 19 = 323
Therefore, the value for common factors is 323.
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 = 10178963214/(1x323)
LCM = 10178963214/323
LCM = 31513818
Thus, we can understand that the LCM of 798,391,323,101 is 31513818.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 798, 391, 323, 101?
Answer: LCM of 798, 391, 323, 101 is 31513818.
2. How to calculate the LCM of 798, 391, 323, 101?
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 798, 391, 323, 101.
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}.