Find the LCM of 344, 317, 627, 473 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 344, 317, 627, 473. So, keep reading to learn more.
Given numbers are 344,317,627,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,317,627,473 is 68373096.
Find LCM of 344,317,627,473 with Prime Factorization
11 | 344, 317, 627, 473 |
43 | 344, 317, 57, 43 |
8, 317, 57, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 43 x 8 x 317 x 57 x 1 = 68373096
Therefore, the lowest common multiple of 344,317,627,473 is 68373096.
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.
344 x 317 x 627 x 473 = 32340474408
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
317 : 1, 317
627 : 1, 3, 11, 19, 33, 57, 209, 627
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,317,627,473, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
317:317
627:3x 11x 19
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 43 = 473
Therefore, the value for common factors is 473.
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 = 32340474408/(1x473)
LCM = 32340474408/473
LCM = 68373096
Thus, we can understand that the LCM of 344,317,627,473 is 68373096.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 344, 317, 627, 473?
Answer: LCM of 344, 317, 627, 473 is 68373096.
2. How to calculate the LCM of 344, 317, 627, 473?
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 344, 317, 627, 473.
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}.