Find the LCM of 164, 878, 918, 908, 943 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 164, 878, 918, 908, 943. So, keep reading to learn more.
Given numbers are 164,878,918,908,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 164,878,918,908,943 is 172534022244.
Find LCM of 164,878,918,908,943 with Prime Factorization
2 | 164, 878, 918, 908, 943 |
2 | 82, 439, 459, 454, 943 |
41 | 41, 439, 459, 227, 943 |
1, 439, 459, 227, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 1 x 439 x 459 x 227 x 23 = 172534022244
Therefore, the lowest common multiple of 164,878,918,908,943 is 172534022244.
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.
164 x 878 x 918 x 908 x 943 = 113182318592064
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.
164 : 1, 2, 4, 41, 82, 164
878 : 1, 2, 439, 878
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
908 : 1, 2, 4, 227, 454, 908
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,878,918,908,943, is 1.
Now, the common factors can be found like this.
164:2x 2x 41
878:2x 439
918:2x 3x 3x 3x 17
908:2x 2x 227
943:23x 41
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 2x 41 = 656
Therefore, the value for common factors is 656.
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 = 113182318592064/(1x656)
LCM = 113182318592064/656
LCM = 172534022244
Thus, we can understand that the LCM of 164,878,918,908,943 is 172534022244.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 164, 878, 918, 908, 943?
Answer: LCM of 164, 878, 918, 908, 943 is 172534022244.
2. How to calculate the LCM of 164, 878, 918, 908, 943?
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 164, 878, 918, 908, 943.
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}.