LCM of 993, 360, 272, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 360, 272, 414 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, 360, 272, 414. So, keep reading to learn more.
Given numbers are 993,360,272,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,360,272,414 is 93183120.
Find LCM of 993,360,272,414 with Prime Factorization
| 2 | 993, 360, 272, 414 |
| 2 | 993, 180, 136, 207 |
| 2 | 993, 90, 68, 207 |
| 3 | 993, 45, 34, 207 |
| 3 | 331, 15, 34, 69 |
| 331, 5, 34, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 331 x 5 x 34 x 23 = 93183120
Therefore, the lowest common multiple of 993,360,272,414 is 93183120.
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 360 x 272 x 414 = 40255107840
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
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,360,272,414, is 1.
Now, the common factors can be found like this.
993:3x 331
360:2x 2x 2x 3x 3x 5
272:2x 2x 2x 2x 17
414:2x 3x 3x 23
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 40255107840/(1x432)
LCM = 40255107840/432
LCM = 93183120
Thus, we can understand that the LCM of 993,360,272,414 is 93183120.
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FAQs on LCM of 993, 360, 272, 414
1. What is the LCM of 993, 360, 272, 414?
Answer: LCM of 993, 360, 272, 414 is 93183120.
2. How to calculate the LCM of 993, 360, 272, 414?
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, 360, 272, 414.
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}.