Find the LCM of 165, 663, 273, 363, 371 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 165, 663, 273, 363, 371. So, keep reading to learn more.
Given numbers are 165,663,273,363,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,663,273,363,371 is 148813665.
Find LCM of 165,663,273,363,371 with Prime Factorization
3 | 165, 663, 273, 363, 371 |
7 | 55, 221, 91, 121, 371 |
11 | 55, 221, 13, 121, 53 |
13 | 5, 221, 13, 11, 53 |
5, 17, 1, 11, 53 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 13 x 5 x 17 x 1 x 11 x 53 = 148813665
Therefore, the lowest common multiple of 165,663,273,363,371 is 148813665.
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.
165 x 663 x 273 x 363 x 371 = 4021986923955
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
663 : 1, 3, 13, 17, 39, 51, 221, 663
273 : 1, 3, 7, 13, 21, 39, 91, 273
363 : 1, 3, 11, 33, 121, 363
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,663,273,363,371, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
663:3x 13x 17
273:3x 7x 13
363:3x 11x 11
371:7x 53
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 3x 7x 11x 13 = 27027
Therefore, the value for common factors is 27027.
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 = 4021986923955/(1x27027)
LCM = 4021986923955/27027
LCM = 148813665
Thus, we can understand that the LCM of 165,663,273,363,371 is 148813665.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 165, 663, 273, 363, 371?
Answer: LCM of 165, 663, 273, 363, 371 is 148813665.
2. How to calculate the LCM of 165, 663, 273, 363, 371?
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 165, 663, 273, 363, 371.
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}.