Find the LCM of 416, 299, 637, 161 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 416, 299, 637, 161. So, keep reading to learn more.
Given numbers are 416,299,637,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,299,637,161 is 468832.
Find LCM of 416,299,637,161 with Prime Factorization
7 | 416, 299, 637, 161 |
13 | 416, 299, 91, 23 |
23 | 32, 23, 7, 23 |
32, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 23 x 32 x 1 x 7 x 1 = 468832
Therefore, the lowest common multiple of 416,299,637,161 is 468832.
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.
416 x 299 x 637 x 161 = 12756449888
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
299 : 1, 13, 23, 299
637 : 1, 7, 13, 49, 91, 637
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,299,637,161, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
299:13x 23
637:7x 7x 13
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 13x 23 = 27209
Therefore, the value for common factors is 27209.
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 = 12756449888/(1x27209)
LCM = 12756449888/27209
LCM = 468832
Thus, we can understand that the LCM of 416,299,637,161 is 468832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 299, 637, 161?
Answer: LCM of 416, 299, 637, 161 is 468832.
2. How to calculate the LCM of 416, 299, 637, 161?
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 416, 299, 637, 161.
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}.