Find the LCM of 3481, 8673 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 3481, 8673. So, keep reading to learn more.
Given numbers are 3481,8673
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3481,8673 is 511707.
Find LCM of 3481,8673 with Prime Factorization
| 59 | 3481, 8673 |
| 59, 147 |
Multiply the prime numbers at the bottom and the left side.
59 x 59 x 147 = 511707
Therefore, the lowest common multiple of 3481,8673 is 511707.
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.
3481 x 8673 = 30190713
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.
3481 : 1, 59, 3481
8673 : 1, 3, 7, 21, 49, 59, 147, 177, 413, 1239, 2891, 8673
59 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3481,8673, is 59.
Now, the common factors can be found like this.
3481:59x 59
8673:3x 7x 7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 30190713/(59x1)
LCM = 30190713/59
LCM = 511707
Thus, we can understand that the LCM of 3481,8673 is 511707.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3481, 8673?
Answer: LCM of 3481, 8673 is 511707.
2. How to calculate the LCM of 3481, 8673?
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 3481, 8673.
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}.