LCM of 993, 886, 312, 322, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 886, 312, 322, 384 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, 886, 312, 322, 384. So, keep reading to learn more.
Given numbers are 993,886,312,322,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,886,312,322,384 is 117850701696.
Find LCM of 993,886,312,322,384 with Prime Factorization
| 2 | 993, 886, 312, 322, 384 |
| 2 | 993, 443, 156, 161, 192 |
| 2 | 993, 443, 78, 161, 96 |
| 3 | 993, 443, 39, 161, 48 |
| 331, 443, 13, 161, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 331 x 443 x 13 x 161 x 16 = 117850701696
Therefore, the lowest common multiple of 993,886,312,322,384 is 117850701696.
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 886 x 312 x 322 x 384 = 33941002088448
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
886 : 1, 2, 443, 886
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
322 : 1, 2, 7, 14, 23, 46, 161, 322
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,886,312,322,384, is 1.
Now, the common factors can be found like this.
993:3x 331
886:2x 443
312:2x 2x 2x 3x 13
322:2x 7x 23
384:2x 2x 2x 2x 2x 2x 2x 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 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 33941002088448/(1x288)
LCM = 33941002088448/288
LCM = 117850701696
Thus, we can understand that the LCM of 993,886,312,322,384 is 117850701696.
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FAQs on LCM of 993, 886, 312, 322, 384
1. What is the LCM of 993, 886, 312, 322, 384?
Answer: LCM of 993, 886, 312, 322, 384 is 117850701696.
2. How to calculate the LCM of 993, 886, 312, 322, 384?
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, 886, 312, 322, 384.
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}.