Find the LCM of 165, 595, 415, 649, 705 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, 595, 415, 649, 705. So, keep reading to learn more.
Given numbers are 165,595,415,649,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,595,415,649,705 is 4519171965.
Find LCM of 165,595,415,649,705 with Prime Factorization
3 | 165, 595, 415, 649, 705 |
5 | 55, 595, 415, 649, 235 |
11 | 11, 119, 83, 649, 47 |
1, 119, 83, 59, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 1 x 119 x 83 x 59 x 47 = 4519171965
Therefore, the lowest common multiple of 165,595,415,649,705 is 4519171965.
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 595 x 415 x 649 x 705 = 18641584355625
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
595 : 1, 5, 7, 17, 35, 85, 119, 595
415 : 1, 5, 83, 415
649 : 1, 11, 59, 649
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,595,415,649,705, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
595:5x 7x 17
415:5x 83
649:11x 59
705:3x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 11 = 4125
Therefore, the value for common factors is 4125.
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 = 18641584355625/(1x4125)
LCM = 18641584355625/4125
LCM = 4519171965
Thus, we can understand that the LCM of 165,595,415,649,705 is 4519171965.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 165, 595, 415, 649, 705?
Answer: LCM of 165, 595, 415, 649, 705 is 4519171965.
2. How to calculate the LCM of 165, 595, 415, 649, 705?
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, 595, 415, 649, 705.
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}.