Find the LCM of 172, 361, 717, 897, 621 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 172, 361, 717, 897, 621. So, keep reading to learn more.
Given numbers are 172,361,717,897,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,361,717,897,621 is 119803223124.
Find LCM of 172,361,717,897,621 with Prime Factorization
3 | 172, 361, 717, 897, 621 |
23 | 172, 361, 239, 299, 207 |
172, 361, 239, 13, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 172 x 361 x 239 x 13 x 9 = 119803223124
Therefore, the lowest common multiple of 172,361,717,897,621 is 119803223124.
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.
172 x 361 x 717 x 897 x 621 = 24799267186668
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.
172 : 1, 2, 4, 43, 86, 172
361 : 1, 19, 361
717 : 1, 3, 239, 717
897 : 1, 3, 13, 23, 39, 69, 299, 897
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,361,717,897,621, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
361:19x 19
717:3x 239
897:3x 13x 23
621:3x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 24799267186668/(1x207)
LCM = 24799267186668/207
LCM = 119803223124
Thus, we can understand that the LCM of 172,361,717,897,621 is 119803223124.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 172, 361, 717, 897, 621?
Answer: LCM of 172, 361, 717, 897, 621 is 119803223124.
2. How to calculate the LCM of 172, 361, 717, 897, 621?
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 172, 361, 717, 897, 621.
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}.