Find the LCM of 662, 404, 513, 528, 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 662, 404, 513, 528, 161. So, keep reading to learn more.
Given numbers are 662,404,513,528,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,404,513,528,161 is 485965318608.
Find LCM of 662,404,513,528,161 with Prime Factorization
2 | 662, 404, 513, 528, 161 |
2 | 331, 202, 513, 264, 161 |
3 | 331, 101, 513, 132, 161 |
331, 101, 171, 44, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 331 x 101 x 171 x 44 x 161 = 485965318608
Therefore, the lowest common multiple of 662,404,513,528,161 is 485965318608.
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.
662 x 404 x 513 x 528 x 161 = 11663167646592
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.
662 : 1, 2, 331, 662
404 : 1, 2, 4, 101, 202, 404
513 : 1, 3, 9, 19, 27, 57, 171, 513
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,404,513,528,161, is 1.
Now, the common factors can be found like this.
662:2x 331
404:2x 2x 101
513:3x 3x 3x 19
528:2x 2x 2x 2x 3x 11
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.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 11663167646592/(1x24)
LCM = 11663167646592/24
LCM = 485965318608
Thus, we can understand that the LCM of 662,404,513,528,161 is 485965318608.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 662, 404, 513, 528, 161?
Answer: LCM of 662, 404, 513, 528, 161 is 485965318608.
2. How to calculate the LCM of 662, 404, 513, 528, 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 662, 404, 513, 528, 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}.