LCM of 508, 540, 105, 221, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 540, 105, 221, 993 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 508, 540, 105, 221, 993. So, keep reading to learn more.
Given numbers are 508,540,105,221,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,540,105,221,993 is 35116869060.
Find LCM of 508,540,105,221,993 with Prime Factorization
| 2 | 508, 540, 105, 221, 993 |
| 2 | 254, 270, 105, 221, 993 |
| 3 | 127, 135, 105, 221, 993 |
| 5 | 127, 45, 35, 221, 331 |
| 127, 9, 7, 221, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 127 x 9 x 7 x 221 x 331 = 35116869060
Therefore, the lowest common multiple of 508,540,105,221,993 is 35116869060.
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.
508 x 540 x 105 x 221 x 993 = 6321036430800
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.
508 : 1, 2, 4, 127, 254, 508
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
105 : 1, 3, 5, 7, 15, 21, 35, 105
221 : 1, 13, 17, 221
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,540,105,221,993, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
540:2x 2x 3x 3x 3x 5
105:3x 5x 7
221:13x 17
993:3x 331
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 = 6321036430800/(1x180)
LCM = 6321036430800/180
LCM = 35116869060
Thus, we can understand that the LCM of 508,540,105,221,993 is 35116869060.
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FAQs on LCM of 508, 540, 105, 221, 993
1. What is the LCM of 508, 540, 105, 221, 993?
Answer: LCM of 508, 540, 105, 221, 993 is 35116869060.
2. How to calculate the LCM of 508, 540, 105, 221, 993?
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 508, 540, 105, 221, 993.
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}.