Find the LCM of 299, 494, 676, 949 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 299, 494, 676, 949. So, keep reading to learn more.
Given numbers are 299,494,676,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,494,676,949 is 21565076.
Find LCM of 299,494,676,949 with Prime Factorization
2 | 299, 494, 676, 949 |
13 | 299, 247, 338, 949 |
23, 19, 26, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 19 x 26 x 73 = 21565076
Therefore, the lowest common multiple of 299,494,676,949 is 21565076.
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.
299 x 494 x 676 x 949 = 94756943944
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.
299 : 1, 13, 23, 299
494 : 1, 2, 13, 19, 26, 38, 247, 494
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
949 : 1, 13, 73, 949
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,494,676,949, is 13.
Now, the common factors can be found like this.
299:13x 23
494:2x 13x 19
676:2x 2x 13x 13
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 94756943944/(13x338)
LCM = 94756943944/4394
LCM = 21565076
Thus, we can understand that the LCM of 299,494,676,949 is 21565076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 299, 494, 676, 949?
Answer: LCM of 299, 494, 676, 949 is 21565076.
2. How to calculate the LCM of 299, 494, 676, 949?
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 299, 494, 676, 949.
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}.