LCM of 667, 348, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 348, 312 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 667, 348, 312. So, keep reading to learn more.
Given numbers are 667,348,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,348,312 is 208104.
Find LCM of 667,348,312 with Prime Factorization
| 2 | 667, 348, 312 |
| 2 | 667, 174, 156 |
| 3 | 667, 87, 78 |
| 29 | 667, 29, 26 |
| 23, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 23 x 1 x 26 = 208104
Therefore, the lowest common multiple of 667,348,312 is 208104.
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.
667 x 348 x 312 = 72420192
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.
667 : 1, 23, 29, 667
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,348,312, is 1.
Now, the common factors can be found like this.
667:23x 29
348:2x 2x 3x 29
312:2x 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 2x 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 72420192/(1x348)
LCM = 72420192/348
LCM = 208104
Thus, we can understand that the LCM of 667,348,312 is 208104.
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FAQs on LCM of 667, 348, 312
1. What is the LCM of 667, 348, 312?
Answer: LCM of 667, 348, 312 is 208104.
2. How to calculate the LCM of 667, 348, 312?
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 667, 348, 312.
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}.