LCM of 308, 122, 284, 109, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 122, 284, 109, 704 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 308, 122, 284, 109, 704. So, keep reading to learn more.
Given numbers are 308,122,284,109,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,122,284,109,704 is 2326405312.
Find LCM of 308,122,284,109,704 with Prime Factorization
| 2 | 308, 122, 284, 109, 704 |
| 2 | 154, 61, 142, 109, 352 |
| 11 | 77, 61, 71, 109, 176 |
| 7, 61, 71, 109, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 7 x 61 x 71 x 109 x 16 = 2326405312
Therefore, the lowest common multiple of 308,122,284,109,704 is 2326405312.
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.
308 x 122 x 284 x 109 x 704 = 818894669824
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
122 : 1, 2, 61, 122
284 : 1, 2, 4, 71, 142, 284
109 : 1, 109
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,122,284,109,704, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
122:2x 61
284:2x 2x 71
109:109
704:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 818894669824/(1x352)
LCM = 818894669824/352
LCM = 2326405312
Thus, we can understand that the LCM of 308,122,284,109,704 is 2326405312.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 308, 122, 284, 109, 704
1. What is the LCM of 308, 122, 284, 109, 704?
Answer: LCM of 308, 122, 284, 109, 704 is 2326405312.
2. How to calculate the LCM of 308, 122, 284, 109, 704?
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 308, 122, 284, 109, 704.
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}.