Find the LCM of 330, 583, 624, 247 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 330, 583, 624, 247. So, keep reading to learn more.
Given numbers are 330,583,624,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,583,624,247 is 34560240.
Find LCM of 330,583,624,247 with Prime Factorization
2 | 330, 583, 624, 247 |
3 | 165, 583, 312, 247 |
11 | 55, 583, 104, 247 |
13 | 5, 53, 104, 247 |
5, 53, 8, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 5 x 53 x 8 x 19 = 34560240
Therefore, the lowest common multiple of 330,583,624,247 is 34560240.
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.
330 x 583 x 624 x 247 = 29652685920
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
583 : 1, 11, 53, 583
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,583,624,247, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
583:11x 53
624:2x 2x 2x 2x 3x 13
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 13 = 858
Therefore, the value for common factors is 858.
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 = 29652685920/(1x858)
LCM = 29652685920/858
LCM = 34560240
Thus, we can understand that the LCM of 330,583,624,247 is 34560240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 330, 583, 624, 247?
Answer: LCM of 330, 583, 624, 247 is 34560240.
2. How to calculate the LCM of 330, 583, 624, 247?
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 330, 583, 624, 247.
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}.