LCM of 368, 286, 176, 832, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 286, 176, 832, 284 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 368, 286, 176, 832, 284. So, keep reading to learn more.
Given numbers are 368,286,176,832,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,286,176,832,284 is 14945216.
Find LCM of 368,286,176,832,284 with Prime Factorization
| 2 | 368, 286, 176, 832, 284 |
| 2 | 184, 143, 88, 416, 142 |
| 2 | 92, 143, 44, 208, 71 |
| 2 | 46, 143, 22, 104, 71 |
| 11 | 23, 143, 11, 52, 71 |
| 13 | 23, 13, 1, 52, 71 |
| 23, 1, 1, 4, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 13 x 23 x 1 x 1 x 4 x 71 = 14945216
Therefore, the lowest common multiple of 368,286,176,832,284 is 14945216.
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.
368 x 286 x 176 x 832 x 284 = 4376915738624
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
286 : 1, 2, 11, 13, 22, 26, 143, 286
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
284 : 1, 2, 4, 71, 142, 284
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,286,176,832,284, is 2.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
286:2x 11x 13
176:2x 2x 2x 2x 11
832:2x 2x 2x 2x 2x 2x 13
284:2x 2x 71
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 2x 2x 2x 2x 2x 11x 13 = 146432
Therefore, the value for common factors is 146432.
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 = 4376915738624/(2x146432)
LCM = 4376915738624/292864
LCM = 14945216
Thus, we can understand that the LCM of 368,286,176,832,284 is 14945216.
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FAQs on LCM of 368, 286, 176, 832, 284
1. What is the LCM of 368, 286, 176, 832, 284?
Answer: LCM of 368, 286, 176, 832, 284 is 14945216.
2. How to calculate the LCM of 368, 286, 176, 832, 284?
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 368, 286, 176, 832, 284.
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}.