Find the LCM of 177, 330, 345, 901, 765 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 177, 330, 345, 901, 765. So, keep reading to learn more.
Given numbers are 177,330,345,901,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,330,345,901,765 is 1210430430.
Find LCM of 177,330,345,901,765 with Prime Factorization
3 | 177, 330, 345, 901, 765 |
5 | 59, 110, 115, 901, 255 |
17 | 59, 22, 23, 901, 51 |
59, 22, 23, 53, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 59 x 22 x 23 x 53 x 3 = 1210430430
Therefore, the lowest common multiple of 177,330,345,901,765 is 1210430430.
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.
177 x 330 x 345 x 901 x 765 = 13889689184250
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.
177 : 1, 3, 59, 177
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
345 : 1, 3, 5, 15, 23, 69, 115, 345
901 : 1, 17, 53, 901
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,330,345,901,765, is 1.
Now, the common factors can be found like this.
177:3x 59
330:2x 3x 5x 11
345:3x 5x 23
901:17x 53
765:3x 3x 5x 17
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 5x 5x 17 = 11475
Therefore, the value for common factors is 11475.
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 = 13889689184250/(1x11475)
LCM = 13889689184250/11475
LCM = 1210430430
Thus, we can understand that the LCM of 177,330,345,901,765 is 1210430430.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 177, 330, 345, 901, 765?
Answer: LCM of 177, 330, 345, 901, 765 is 1210430430.
2. How to calculate the LCM of 177, 330, 345, 901, 765?
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 177, 330, 345, 901, 765.
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}.