LCM of 667, 296, 144, 391, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 296, 144, 391, 814 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, 296, 144, 391, 814. So, keep reading to learn more.
Given numbers are 667,296,144,391,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,296,144,391,814 is 664556112.
Find LCM of 667,296,144,391,814 with Prime Factorization
| 2 | 667, 296, 144, 391, 814 |
| 2 | 667, 148, 72, 391, 407 |
| 2 | 667, 74, 36, 391, 407 |
| 23 | 667, 37, 18, 391, 407 |
| 37 | 29, 37, 18, 17, 407 |
| 29, 1, 18, 17, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 37 x 29 x 1 x 18 x 17 x 11 = 664556112
Therefore, the lowest common multiple of 667,296,144,391,814 is 664556112.
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 296 x 144 x 391 x 814 = 9048596020992
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
296 : 1, 2, 4, 8, 37, 74, 148, 296
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
391 : 1, 17, 23, 391
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,296,144,391,814, is 1.
Now, the common factors can be found like this.
667:23x 29
296:2x 2x 2x 37
144:2x 2x 2x 2x 3x 3
391:17x 23
814:2x 11x 37
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 23x 37 = 13616
Therefore, the value for common factors is 13616.
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 = 9048596020992/(1x13616)
LCM = 9048596020992/13616
LCM = 664556112
Thus, we can understand that the LCM of 667,296,144,391,814 is 664556112.
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FAQs on LCM of 667, 296, 144, 391, 814
1. What is the LCM of 667, 296, 144, 391, 814?
Answer: LCM of 667, 296, 144, 391, 814 is 664556112.
2. How to calculate the LCM of 667, 296, 144, 391, 814?
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, 296, 144, 391, 814.
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}.