Find the LCM of 567, 289, 179, 425, 299 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 567, 289, 179, 425, 299. So, keep reading to learn more.
Given numbers are 567,289,179,425,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,289,179,425,299 is 219252790575.
Find LCM of 567,289,179,425,299 with Prime Factorization
17 | 567, 289, 179, 425, 299 |
567, 17, 179, 25, 299 |
Multiply the prime numbers at the bottom and the left side.
17 x 567 x 17 x 179 x 25 x 299 = 219252790575
Therefore, the lowest common multiple of 567,289,179,425,299 is 219252790575.
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.
567 x 289 x 179 x 425 x 299 = 3727297439775
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
289 : 1, 17, 289
179 : 1, 179
425 : 1, 5, 17, 25, 85, 425
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,289,179,425,299, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
289:17x 17
179:179
425:5x 5x 17
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 3727297439775/(1x17)
LCM = 3727297439775/17
LCM = 219252790575
Thus, we can understand that the LCM of 567,289,179,425,299 is 219252790575.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 289, 179, 425, 299?
Answer: LCM of 567, 289, 179, 425, 299 is 219252790575.
2. How to calculate the LCM of 567, 289, 179, 425, 299?
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 567, 289, 179, 425, 299.
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}.