LCM of 993, 585, 155, 279, 275
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 585, 155, 279, 275 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, 585, 155, 279, 275. So, keep reading to learn more.
Given numbers are 993,585,155,279,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,585,155,279,275 is 330147675.
Find LCM of 993,585,155,279,275 with Prime Factorization
| 3 | 993, 585, 155, 279, 275 |
| 3 | 331, 195, 155, 93, 275 |
| 5 | 331, 65, 155, 31, 275 |
| 31 | 331, 13, 31, 31, 55 |
| 331, 13, 1, 1, 55 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 31 x 331 x 13 x 1 x 1 x 55 = 330147675
Therefore, the lowest common multiple of 993,585,155,279,275 is 330147675.
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 585 x 155 x 279 x 275 = 6908340099375
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
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
155 : 1, 5, 31, 155
279 : 1, 3, 9, 31, 93, 279
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,585,155,279,275, is 1.
Now, the common factors can be found like this.
993:3x 331
585:3x 3x 5x 13
155:5x 31
279:3x 3x 31
275:5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 31 = 20925
Therefore, the value for common factors is 20925.
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 = 6908340099375/(1x20925)
LCM = 6908340099375/20925
LCM = 330147675
Thus, we can understand that the LCM of 993,585,155,279,275 is 330147675.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 585, 155, 279, 275
1. What is the LCM of 993, 585, 155, 279, 275?
Answer: LCM of 993, 585, 155, 279, 275 is 330147675.
2. How to calculate the LCM of 993, 585, 155, 279, 275?
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, 585, 155, 279, 275.
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}.