LCM of 993, 242, 513, 226, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 242, 513, 226, 385 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, 242, 513, 226, 385. So, keep reading to learn more.
Given numbers are 993,242,513,226,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,242,513,226,385 is 162520149330.
Find LCM of 993,242,513,226,385 with Prime Factorization
| 2 | 993, 242, 513, 226, 385 |
| 3 | 993, 121, 513, 113, 385 |
| 11 | 331, 121, 171, 113, 385 |
| 331, 11, 171, 113, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 331 x 11 x 171 x 113 x 35 = 162520149330
Therefore, the lowest common multiple of 993,242,513,226,385 is 162520149330.
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 242 x 513 x 226 x 385 = 10726329855780
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
242 : 1, 2, 11, 22, 121, 242
513 : 1, 3, 9, 19, 27, 57, 171, 513
226 : 1, 2, 113, 226
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,242,513,226,385, is 1.
Now, the common factors can be found like this.
993:3x 331
242:2x 11x 11
513:3x 3x 3x 19
226:2x 113
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 10726329855780/(1x66)
LCM = 10726329855780/66
LCM = 162520149330
Thus, we can understand that the LCM of 993,242,513,226,385 is 162520149330.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 242, 513, 226, 385
1. What is the LCM of 993, 242, 513, 226, 385?
Answer: LCM of 993, 242, 513, 226, 385 is 162520149330.
2. How to calculate the LCM of 993, 242, 513, 226, 385?
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, 242, 513, 226, 385.
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}.