Find the LCM of 361, 923, 771, 484, 169 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 361, 923, 771, 484, 169. So, keep reading to learn more.
Given numbers are 361,923,771,484,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,923,771,484,169 is 1616411735796.
Find LCM of 361,923,771,484,169 with Prime Factorization
13 | 361, 923, 771, 484, 169 |
361, 71, 771, 484, 13 |
Multiply the prime numbers at the bottom and the left side.
13 x 361 x 71 x 771 x 484 x 13 = 1616411735796
Therefore, the lowest common multiple of 361,923,771,484,169 is 1616411735796.
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.
361 x 923 x 771 x 484 x 169 = 21013352565348
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.
361 : 1, 19, 361
923 : 1, 13, 71, 923
771 : 1, 3, 257, 771
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,923,771,484,169, is 1.
Now, the common factors can be found like this.
361:19x 19
923:13x 71
771:3x 257
484:2x 2x 11x 11
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 21013352565348/(1x13)
LCM = 21013352565348/13
LCM = 1616411735796
Thus, we can understand that the LCM of 361,923,771,484,169 is 1616411735796.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 923, 771, 484, 169?
Answer: LCM of 361, 923, 771, 484, 169 is 1616411735796.
2. How to calculate the LCM of 361, 923, 771, 484, 169?
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 361, 923, 771, 484, 169.
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}.