Find the LCM of 469, 642, 179, 280, 974 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 469, 642, 179, 280, 974. So, keep reading to learn more.
Given numbers are 469,642,179,280,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,642,179,280,974 is 524952319080.
Find LCM of 469,642,179,280,974 with Prime Factorization
2 | 469, 642, 179, 280, 974 |
7 | 469, 321, 179, 140, 487 |
67, 321, 179, 20, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 67 x 321 x 179 x 20 x 487 = 524952319080
Therefore, the lowest common multiple of 469,642,179,280,974 is 524952319080.
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.
469 x 642 x 179 x 280 x 974 = 14698664934240
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.
469 : 1, 7, 67, 469
642 : 1, 2, 3, 6, 107, 214, 321, 642
179 : 1, 179
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,642,179,280,974, is 1.
Now, the common factors can be found like this.
469:7x 67
642:2x 3x 107
179:179
280:2x 2x 2x 5x 7
974:2x 487
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 7 = 28
Therefore, the value for common factors is 28.
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 = 14698664934240/(1x28)
LCM = 14698664934240/28
LCM = 524952319080
Thus, we can understand that the LCM of 469,642,179,280,974 is 524952319080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 642, 179, 280, 974?
Answer: LCM of 469, 642, 179, 280, 974 is 524952319080.
2. How to calculate the LCM of 469, 642, 179, 280, 974?
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 469, 642, 179, 280, 974.
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}.