Find the LCM of 299, 266, 323, 353 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, 266, 323, 353. So, keep reading to learn more.
Given numbers are 299,266,323,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,266,323,353 is 477283534.
Find LCM of 299,266,323,353 with Prime Factorization
19 | 299, 266, 323, 353 |
299, 14, 17, 353 |
Multiply the prime numbers at the bottom and the left side.
19 x 299 x 14 x 17 x 353 = 477283534
Therefore, the lowest common multiple of 299,266,323,353 is 477283534.
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 266 x 323 x 353 = 9068387146
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
266 : 1, 2, 7, 14, 19, 38, 133, 266
323 : 1, 17, 19, 323
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,266,323,353, is 1.
Now, the common factors can be found like this.
299:13x 23
266:2x 7x 19
323:17x 19
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 9068387146/(1x19)
LCM = 9068387146/19
LCM = 477283534
Thus, we can understand that the LCM of 299,266,323,353 is 477283534.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 299, 266, 323, 353?
Answer: LCM of 299, 266, 323, 353 is 477283534.
2. How to calculate the LCM of 299, 266, 323, 353?
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, 266, 323, 353.
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}.