Find the LCM of 165, 451, 473, 722 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, 451, 473, 722. So, keep reading to learn more.
Given numbers are 165,451,473,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,451,473,722 is 210026190.
Find LCM of 165,451,473,722 with Prime Factorization
11 | 165, 451, 473, 722 |
15, 41, 43, 722 |
Multiply the prime numbers at the bottom and the left side.
11 x 15 x 41 x 43 x 722 = 210026190
Therefore, the lowest common multiple of 165,451,473,722 is 210026190.
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 451 x 473 x 722 = 25413168990
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
451 : 1, 11, 41, 451
473 : 1, 11, 43, 473
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,451,473,722, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
451:11x 41
473:11x 43
722:2x 19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 25413168990/(1x121)
LCM = 25413168990/121
LCM = 210026190
Thus, we can understand that the LCM of 165,451,473,722 is 210026190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 165, 451, 473, 722?
Answer: LCM of 165, 451, 473, 722 is 210026190.
2. How to calculate the LCM of 165, 451, 473, 722?
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, 451, 473, 722.
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}.