Find the LCM of 624, 328, 442, 156, 579 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 624, 328, 442, 156, 579. So, keep reading to learn more.
Given numbers are 624,328,442,156,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,328,442,156,579 is 83941104.
Find LCM of 624,328,442,156,579 with Prime Factorization
2 | 624, 328, 442, 156, 579 |
2 | 312, 164, 221, 78, 579 |
2 | 156, 82, 221, 39, 579 |
3 | 78, 41, 221, 39, 579 |
13 | 26, 41, 221, 13, 193 |
2, 41, 17, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 2 x 41 x 17 x 1 x 193 = 83941104
Therefore, the lowest common multiple of 624,328,442,156,579 is 83941104.
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.
624 x 328 x 442 x 156 x 579 = 8171162827776
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
328 : 1, 2, 4, 8, 41, 82, 164, 328
442 : 1, 2, 13, 17, 26, 34, 221, 442
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,328,442,156,579, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
328:2x 2x 2x 41
442:2x 13x 17
156:2x 2x 3x 13
579:3x 193
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 3x 13x 13 = 97344
Therefore, the value for common factors is 97344.
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 = 8171162827776/(1x97344)
LCM = 8171162827776/97344
LCM = 83941104
Thus, we can understand that the LCM of 624,328,442,156,579 is 83941104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 624, 328, 442, 156, 579?
Answer: LCM of 624, 328, 442, 156, 579 is 83941104.
2. How to calculate the LCM of 624, 328, 442, 156, 579?
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 624, 328, 442, 156, 579.
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}.