Find the LCM of 647, 346, 346, 349 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 647, 346, 346, 349. So, keep reading to learn more.
Given numbers are 647,346,346,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,346,346,349 is 78127838.
Find LCM of 647,346,346,349 with Prime Factorization
2 | 647, 346, 346, 349 |
173 | 647, 173, 173, 349 |
647, 1, 1, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 647 x 1 x 1 x 349 = 78127838
Therefore, the lowest common multiple of 647,346,346,349 is 78127838.
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.
647 x 346 x 346 x 349 = 27032231948
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.
647 : 1, 647
346 : 1, 2, 173, 346
346 : 1, 2, 173, 346
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,346,346,349, is 1.
Now, the common factors can be found like this.
647:647
346:2x 173
346:2x 173
349:349
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 173 = 346
Therefore, the value for common factors is 346.
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 = 27032231948/(1x346)
LCM = 27032231948/346
LCM = 78127838
Thus, we can understand that the LCM of 647,346,346,349 is 78127838.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 647, 346, 346, 349?
Answer: LCM of 647, 346, 346, 349 is 78127838.
2. How to calculate the LCM of 647, 346, 346, 349?
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 647, 346, 346, 349.
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}.