LCM of 993, 531, 184, 387, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 531, 184, 387, 678 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, 531, 184, 387, 678. So, keep reading to learn more.
Given numbers are 993,531,184,387,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,531,184,387,678 is 157140176616.
Find LCM of 993,531,184,387,678 with Prime Factorization
| 2 | 993, 531, 184, 387, 678 |
| 3 | 993, 531, 92, 387, 339 |
| 3 | 331, 177, 92, 129, 113 |
| 331, 59, 92, 43, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 331 x 59 x 92 x 43 x 113 = 157140176616
Therefore, the lowest common multiple of 993,531,184,387,678 is 157140176616.
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 531 x 184 x 387 x 678 = 25456708611792
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
531 : 1, 3, 9, 59, 177, 531
184 : 1, 2, 4, 8, 23, 46, 92, 184
387 : 1, 3, 9, 43, 129, 387
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,531,184,387,678, is 1.
Now, the common factors can be found like this.
993:3x 331
531:3x 3x 59
184:2x 2x 2x 23
387:3x 3x 43
678:2x 3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 25456708611792/(1x162)
LCM = 25456708611792/162
LCM = 157140176616
Thus, we can understand that the LCM of 993,531,184,387,678 is 157140176616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 531, 184, 387, 678
1. What is the LCM of 993, 531, 184, 387, 678?
Answer: LCM of 993, 531, 184, 387, 678 is 157140176616.
2. How to calculate the LCM of 993, 531, 184, 387, 678?
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, 531, 184, 387, 678.
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}.