Find the LCM of 578, 311, 649, 326, 624 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 578, 311, 649, 326, 624. So, keep reading to learn more.
Given numbers are 578,311,649,326,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,311,649,326,624 is 5933010578352.
Find LCM of 578,311,649,326,624 with Prime Factorization
2 | 578, 311, 649, 326, 624 |
289, 311, 649, 163, 312 |
Multiply the prime numbers at the bottom and the left side.
2 x 289 x 311 x 649 x 163 x 312 = 5933010578352
Therefore, the lowest common multiple of 578,311,649,326,624 is 5933010578352.
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.
578 x 311 x 649 x 326 x 624 = 23732042313408
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.
578 : 1, 2, 17, 34, 289, 578
311 : 1, 311
649 : 1, 11, 59, 649
326 : 1, 2, 163, 326
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,311,649,326,624, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
311:311
649:11x 59
326:2x 163
624:2x 2x 2x 2x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 23732042313408/(1x4)
LCM = 23732042313408/4
LCM = 5933010578352
Thus, we can understand that the LCM of 578,311,649,326,624 is 5933010578352.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 311, 649, 326, 624?
Answer: LCM of 578, 311, 649, 326, 624 is 5933010578352.
2. How to calculate the LCM of 578, 311, 649, 326, 624?
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 578, 311, 649, 326, 624.
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}.