LCM of 993, 865, 230, 654, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 865, 230, 654, 324 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, 865, 230, 654, 324. So, keep reading to learn more.
Given numbers are 993,865,230,654,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,865,230,654,324 is 232564512420.
Find LCM of 993,865,230,654,324 with Prime Factorization
| 2 | 993, 865, 230, 654, 324 |
| 3 | 993, 865, 115, 327, 162 |
| 5 | 331, 865, 115, 109, 54 |
| 331, 173, 23, 109, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 331 x 173 x 23 x 109 x 54 = 232564512420
Therefore, the lowest common multiple of 993,865,230,654,324 is 232564512420.
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 865 x 230 x 654 x 324 = 41861612235600
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
865 : 1, 5, 173, 865
230 : 1, 2, 5, 10, 23, 46, 115, 230
654 : 1, 2, 3, 6, 109, 218, 327, 654
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,865,230,654,324, is 1.
Now, the common factors can be found like this.
993:3x 331
865:5x 173
230:2x 5x 23
654:2x 3x 109
324:2x 2x 3x 3x 3x 3
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 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 41861612235600/(1x180)
LCM = 41861612235600/180
LCM = 232564512420
Thus, we can understand that the LCM of 993,865,230,654,324 is 232564512420.
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FAQs on LCM of 993, 865, 230, 654, 324
1. What is the LCM of 993, 865, 230, 654, 324?
Answer: LCM of 993, 865, 230, 654, 324 is 232564512420.
2. How to calculate the LCM of 993, 865, 230, 654, 324?
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, 865, 230, 654, 324.
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}.