Find the LCM of 469, 624, 608, 418, 234 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, 624, 608, 418, 234. So, keep reading to learn more.
Given numbers are 469,624,608,418,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,624,608,418,234 is 366990624.
Find LCM of 469,624,608,418,234 with Prime Factorization
2 | 469, 624, 608, 418, 234 |
2 | 469, 312, 304, 209, 117 |
2 | 469, 156, 152, 209, 117 |
2 | 469, 78, 76, 209, 117 |
3 | 469, 39, 38, 209, 117 |
13 | 469, 13, 38, 209, 39 |
19 | 469, 1, 38, 209, 3 |
469, 1, 2, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 19 x 469 x 1 x 2 x 11 x 3 = 366990624
Therefore, the lowest common multiple of 469,624,608,418,234 is 366990624.
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 624 x 608 x 418 x 234 = 17404163352576
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
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
418 : 1, 2, 11, 19, 22, 38, 209, 418
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,624,608,418,234, is 1.
Now, the common factors can be found like this.
469:7x 67
624:2x 2x 2x 2x 3x 13
608:2x 2x 2x 2x 2x 19
418:2x 11x 19
234:2x 3x 3x 13
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 2x 2x 2x 3x 13x 19 = 47424
Therefore, the value for common factors is 47424.
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 = 17404163352576/(1x47424)
LCM = 17404163352576/47424
LCM = 366990624
Thus, we can understand that the LCM of 469,624,608,418,234 is 366990624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 624, 608, 418, 234?
Answer: LCM of 469, 624, 608, 418, 234 is 366990624.
2. How to calculate the LCM of 469, 624, 608, 418, 234?
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, 624, 608, 418, 234.
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}.