LCM of 993, 605, 301, 690, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 605, 301, 690, 329 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 993, 605, 301, 690, 329. So, keep reading to learn more.
Given numbers are 993,605,301,690,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,605,301,690,329 is 390955032930.
Find LCM of 993,605,301,690,329 with Prime Factorization
| 3 | 993, 605, 301, 690, 329 |
| 5 | 331, 605, 301, 230, 329 |
| 7 | 331, 121, 301, 46, 329 |
| 331, 121, 43, 46, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 331 x 121 x 43 x 46 x 47 = 390955032930
Therefore, the lowest common multiple of 993,605,301,690,329 is 390955032930.
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.
993 x 605 x 301 x 690 x 329 = 41050278457650
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.
993 : 1, 3, 331, 993
605 : 1, 5, 11, 55, 121, 605
301 : 1, 7, 43, 301
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,605,301,690,329, is 1.
Now, the common factors can be found like this.
993:3x 331
605:5x 11x 11
301:7x 43
690:2x 3x 5x 23
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 41050278457650/(1x105)
LCM = 41050278457650/105
LCM = 390955032930
Thus, we can understand that the LCM of 993,605,301,690,329 is 390955032930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 605, 301, 690, 329
1. What is the LCM of 993, 605, 301, 690, 329?
Answer: LCM of 993, 605, 301, 690, 329 is 390955032930.
2. How to calculate the LCM of 993, 605, 301, 690, 329?
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 993, 605, 301, 690, 329.
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}.