Find the LCM of 323, 512, 680, 368 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 323, 512, 680, 368. So, keep reading to learn more.
Given numbers are 323,512,680,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,512,680,368 is 19018240.
Find LCM of 323,512,680,368 with Prime Factorization
2 | 323, 512, 680, 368 |
2 | 323, 256, 340, 184 |
2 | 323, 128, 170, 92 |
2 | 323, 64, 85, 46 |
17 | 323, 32, 85, 23 |
19, 32, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 19 x 32 x 5 x 23 = 19018240
Therefore, the lowest common multiple of 323,512,680,368 is 19018240.
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.
323 x 512 x 680 x 368 = 41383690240
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.
323 : 1, 17, 19, 323
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,512,680,368, is 1.
Now, the common factors can be found like this.
323:17x 19
512:2x 2x 2x 2x 2x 2x 2x 2x 2
680:2x 2x 2x 5x 17
368:2x 2x 2x 2x 23
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 2x 17 = 2176
Therefore, the value for common factors is 2176.
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 = 41383690240/(1x2176)
LCM = 41383690240/2176
LCM = 19018240
Thus, we can understand that the LCM of 323,512,680,368 is 19018240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 323, 512, 680, 368?
Answer: LCM of 323, 512, 680, 368 is 19018240.
2. How to calculate the LCM of 323, 512, 680, 368?
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 323, 512, 680, 368.
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}.