LCM of 993, 120, 165, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 120, 165, 356 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, 120, 165, 356. So, keep reading to learn more.
Given numbers are 993,120,165,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,120,165,356 is 38885880.
Find LCM of 993,120,165,356 with Prime Factorization
| 2 | 993, 120, 165, 356 |
| 2 | 993, 60, 165, 178 |
| 3 | 993, 30, 165, 89 |
| 5 | 331, 10, 55, 89 |
| 331, 2, 11, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 331 x 2 x 11 x 89 = 38885880
Therefore, the lowest common multiple of 993,120,165,356 is 38885880.
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 120 x 165 x 356 = 6999458400
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
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
165 : 1, 3, 5, 11, 15, 33, 55, 165
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,120,165,356, is 1.
Now, the common factors can be found like this.
993:3x 331
120:2x 2x 2x 3x 5
165:3x 5x 11
356:2x 2x 89
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 = 6999458400/(1x180)
LCM = 6999458400/180
LCM = 38885880
Thus, we can understand that the LCM of 993,120,165,356 is 38885880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 120, 165, 356
1. What is the LCM of 993, 120, 165, 356?
Answer: LCM of 993, 120, 165, 356 is 38885880.
2. How to calculate the LCM of 993, 120, 165, 356?
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, 120, 165, 356.
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}.