Find the LCM of 165, 791, 471, 963 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, 791, 471, 963. So, keep reading to learn more.
Given numbers are 165,791,471,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,791,471,963 is 6577564455.
Find LCM of 165,791,471,963 with Prime Factorization
3 | 165, 791, 471, 963 |
55, 791, 157, 321 |
Multiply the prime numbers at the bottom and the left side.
3 x 55 x 791 x 157 x 321 = 6577564455
Therefore, the lowest common multiple of 165,791,471,963 is 6577564455.
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 791 x 471 x 963 = 59198080095
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
791 : 1, 7, 113, 791
471 : 1, 3, 157, 471
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,791,471,963, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
791:7x 113
471:3x 157
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 59198080095/(1x9)
LCM = 59198080095/9
LCM = 6577564455
Thus, we can understand that the LCM of 165,791,471,963 is 6577564455.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 165, 791, 471, 963?
Answer: LCM of 165, 791, 471, 963 is 6577564455.
2. How to calculate the LCM of 165, 791, 471, 963?
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, 791, 471, 963.
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}.