LCM of 336, 768, 328, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 768, 328, 667 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 336, 768, 328, 667. So, keep reading to learn more.
Given numbers are 336,768,328,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,768,328,667 is 147017472.
Find LCM of 336,768,328,667 with Prime Factorization
| 2 | 336, 768, 328, 667 |
| 2 | 168, 384, 164, 667 |
| 2 | 84, 192, 82, 667 |
| 2 | 42, 96, 41, 667 |
| 3 | 21, 48, 41, 667 |
| 7, 16, 41, 667 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 16 x 41 x 667 = 147017472
Therefore, the lowest common multiple of 336,768,328,667 is 147017472.
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.
336 x 768 x 328 x 667 = 56454709248
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
328 : 1, 2, 4, 8, 41, 82, 164, 328
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,768,328,667, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
768:2x 2x 2x 2x 2x 2x 2x 2x 3
328:2x 2x 2x 41
667:23x 29
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 3 = 384
Therefore, the value for common factors is 384.
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 = 56454709248/(1x384)
LCM = 56454709248/384
LCM = 147017472
Thus, we can understand that the LCM of 336,768,328,667 is 147017472.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 336, 768, 328, 667
1. What is the LCM of 336, 768, 328, 667?
Answer: LCM of 336, 768, 328, 667 is 147017472.
2. How to calculate the LCM of 336, 768, 328, 667?
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 336, 768, 328, 667.
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}.