Find the LCM of 366, 149, 494, 676, 474 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 366, 149, 494, 676, 474. So, keep reading to learn more.
Given numbers are 366,149,494,676,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,149,494,676,474 is 27667170492.
Find LCM of 366,149,494,676,474 with Prime Factorization
2 | 366, 149, 494, 676, 474 |
3 | 183, 149, 247, 338, 237 |
13 | 61, 149, 247, 338, 79 |
61, 149, 19, 26, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 61 x 149 x 19 x 26 x 79 = 27667170492
Therefore, the lowest common multiple of 366,149,494,676,474 is 27667170492.
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.
366 x 149 x 494 x 676 x 474 = 8632157193504
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
149 : 1, 149
494 : 1, 2, 13, 19, 26, 38, 247, 494
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,149,494,676,474, is 1.
Now, the common factors can be found like this.
366:2x 3x 61
149:149
494:2x 13x 19
676:2x 2x 13x 13
474:2x 3x 79
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 2x 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 8632157193504/(1x312)
LCM = 8632157193504/312
LCM = 27667170492
Thus, we can understand that the LCM of 366,149,494,676,474 is 27667170492.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 366, 149, 494, 676, 474?
Answer: LCM of 366, 149, 494, 676, 474 is 27667170492.
2. How to calculate the LCM of 366, 149, 494, 676, 474?
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 366, 149, 494, 676, 474.
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}.