Find the LCM of 403, 167, 413, 581, 668 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 403, 167, 413, 581, 668. So, keep reading to learn more.
Given numbers are 403,167,413,581,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,167,413,581,668 is 9228043916.
Find LCM of 403,167,413,581,668 with Prime Factorization
7 | 403, 167, 413, 581, 668 |
167 | 403, 167, 59, 83, 668 |
403, 1, 59, 83, 4 |
Multiply the prime numbers at the bottom and the left side.
7 x 167 x 403 x 1 x 59 x 83 x 4 = 9228043916
Therefore, the lowest common multiple of 403,167,413,581,668 is 9228043916.
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.
403 x 167 x 413 x 581 x 668 = 10787583337804
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.
403 : 1, 13, 31, 403
167 : 1, 167
413 : 1, 7, 59, 413
581 : 1, 7, 83, 581
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,167,413,581,668, is 1.
Now, the common factors can be found like this.
403:13x 31
167:167
413:7x 59
581:7x 83
668:2x 2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 167 = 1169
Therefore, the value for common factors is 1169.
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 = 10787583337804/(1x1169)
LCM = 10787583337804/1169
LCM = 9228043916
Thus, we can understand that the LCM of 403,167,413,581,668 is 9228043916.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 403, 167, 413, 581, 668?
Answer: LCM of 403, 167, 413, 581, 668 is 9228043916.
2. How to calculate the LCM of 403, 167, 413, 581, 668?
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 403, 167, 413, 581, 668.
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}.