LCM of 993, 381, 247, 384, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 381, 247, 384, 936 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, 381, 247, 384, 936. So, keep reading to learn more.
Given numbers are 993,381,247,384,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,381,247,384,936 is 11961376128.
Find LCM of 993,381,247,384,936 with Prime Factorization
| 2 | 993, 381, 247, 384, 936 |
| 2 | 993, 381, 247, 192, 468 |
| 2 | 993, 381, 247, 96, 234 |
| 3 | 993, 381, 247, 48, 117 |
| 13 | 331, 127, 247, 16, 39 |
| 331, 127, 19, 16, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 331 x 127 x 19 x 16 x 3 = 11961376128
Therefore, the lowest common multiple of 993,381,247,384,936 is 11961376128.
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 381 x 247 x 384 x 936 = 33587544167424
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
381 : 1, 3, 127, 381
247 : 1, 13, 19, 247
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,381,247,384,936, is 1.
Now, the common factors can be found like this.
993:3x 331
381:3x 127
247:13x 19
384:2x 2x 2x 2x 2x 2x 2x 3
936:2x 2x 2x 3x 3x 13
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 3x 3x 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 33587544167424/(1x2808)
LCM = 33587544167424/2808
LCM = 11961376128
Thus, we can understand that the LCM of 993,381,247,384,936 is 11961376128.
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FAQs on LCM of 993, 381, 247, 384, 936
1. What is the LCM of 993, 381, 247, 384, 936?
Answer: LCM of 993, 381, 247, 384, 936 is 11961376128.
2. How to calculate the LCM of 993, 381, 247, 384, 936?
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, 381, 247, 384, 936.
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}.