Find the LCM of 655, 289, 289, 226 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 655, 289, 289, 226. So, keep reading to learn more.
Given numbers are 655,289,289,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,289,289,226 is 42780670.
Find LCM of 655,289,289,226 with Prime Factorization
17 | 655, 289, 289, 226 |
17 | 655, 17, 17, 226 |
655, 1, 1, 226 |
Multiply the prime numbers at the bottom and the left side.
17 x 17 x 655 x 1 x 1 x 226 = 42780670
Therefore, the lowest common multiple of 655,289,289,226 is 42780670.
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.
655 x 289 x 289 x 226 = 12363613630
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.
655 : 1, 5, 131, 655
289 : 1, 17, 289
289 : 1, 17, 289
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,289,289,226, is 1.
Now, the common factors can be found like this.
655:5x 131
289:17x 17
289:17x 17
226:2x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17 = 289
Therefore, the value for common factors is 289.
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 = 12363613630/(1x289)
LCM = 12363613630/289
LCM = 42780670
Thus, we can understand that the LCM of 655,289,289,226 is 42780670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 289, 289, 226?
Answer: LCM of 655, 289, 289, 226 is 42780670.
2. How to calculate the LCM of 655, 289, 289, 226?
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 655, 289, 289, 226.
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}.