Find the LCM of 180, 545, 412, 721, 601 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 180, 545, 412, 721, 601. So, keep reading to learn more.
Given numbers are 180,545,412,721,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,545,412,721,601 is 8501758020.
Find LCM of 180,545,412,721,601 with Prime Factorization
2 | 180, 545, 412, 721, 601 |
2 | 90, 545, 206, 721, 601 |
5 | 45, 545, 103, 721, 601 |
103 | 9, 109, 103, 721, 601 |
9, 109, 1, 7, 601 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 103 x 9 x 109 x 1 x 7 x 601 = 8501758020
Therefore, the lowest common multiple of 180,545,412,721,601 is 8501758020.
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.
180 x 545 x 412 x 721 x 601 = 17513621521200
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
545 : 1, 5, 109, 545
412 : 1, 2, 4, 103, 206, 412
721 : 1, 7, 103, 721
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,545,412,721,601, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
545:5x 109
412:2x 2x 103
721:7x 103
601:601
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 5x 103 = 2060
Therefore, the value for common factors is 2060.
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 = 17513621521200/(1x2060)
LCM = 17513621521200/2060
LCM = 8501758020
Thus, we can understand that the LCM of 180,545,412,721,601 is 8501758020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 180, 545, 412, 721, 601?
Answer: LCM of 180, 545, 412, 721, 601 is 8501758020.
2. How to calculate the LCM of 180, 545, 412, 721, 601?
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 180, 545, 412, 721, 601.
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}.