LCM of 113, 286, 396, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 286, 396, 168 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 113, 286, 396, 168. So, keep reading to learn more.
Given numbers are 113,286,396,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,286,396,168 is 8144136.
Find LCM of 113,286,396,168 with Prime Factorization
| 2 | 113, 286, 396, 168 |
| 2 | 113, 143, 198, 84 |
| 3 | 113, 143, 99, 42 |
| 11 | 113, 143, 33, 14 |
| 113, 13, 3, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 113 x 13 x 3 x 14 = 8144136
Therefore, the lowest common multiple of 113,286,396,168 is 8144136.
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.
113 x 286 x 396 x 168 = 2150051904
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.
113 : 1, 113
286 : 1, 2, 11, 13, 22, 26, 143, 286
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,286,396,168, is 1.
Now, the common factors can be found like this.
113:113
286:2x 11x 13
396:2x 2x 3x 3x 11
168:2x 2x 2x 3x 7
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 2150051904/(1x264)
LCM = 2150051904/264
LCM = 8144136
Thus, we can understand that the LCM of 113,286,396,168 is 8144136.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 113, 286, 396, 168
1. What is the LCM of 113, 286, 396, 168?
Answer: LCM of 113, 286, 396, 168 is 8144136.
2. How to calculate the LCM of 113, 286, 396, 168?
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 113, 286, 396, 168.
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}.