LCM of 667, 317, 345, 502, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 317, 345, 502, 812 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, 317, 345, 502, 812. So, keep reading to learn more.
Given numbers are 667,317,345,502,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,317,345,502,812 is 22289899380.
Find LCM of 667,317,345,502,812 with Prime Factorization
| 2 | 667, 317, 345, 502, 812 |
| 23 | 667, 317, 345, 251, 406 |
| 29 | 29, 317, 15, 251, 406 |
| 1, 317, 15, 251, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 29 x 1 x 317 x 15 x 251 x 14 = 22289899380
Therefore, the lowest common multiple of 667,317,345,502,812 is 22289899380.
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 317 x 345 x 502 x 812 = 29734725772920
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
317 : 1, 317
345 : 1, 3, 5, 15, 23, 69, 115, 345
502 : 1, 2, 251, 502
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,317,345,502,812, is 1.
Now, the common factors can be found like this.
667:23x 29
317:317
345:3x 5x 23
502:2x 251
812:2x 2x 7x 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 23x 29 = 1334
Therefore, the value for common factors is 1334.
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 = 29734725772920/(1x1334)
LCM = 29734725772920/1334
LCM = 22289899380
Thus, we can understand that the LCM of 667,317,345,502,812 is 22289899380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 317, 345, 502, 812
1. What is the LCM of 667, 317, 345, 502, 812?
Answer: LCM of 667, 317, 345, 502, 812 is 22289899380.
2. How to calculate the LCM of 667, 317, 345, 502, 812?
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, 317, 345, 502, 812.
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}.