LCM of 343, 460, 138, 144, 206
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 460, 138, 144, 206 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 343, 460, 138, 144, 206. So, keep reading to learn more.
Given numbers are 343,460,138,144,206
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,460,138,144,206 is 585048240.
Find LCM of 343,460,138,144,206 with Prime Factorization
| 2 | 343, 460, 138, 144, 206 |
| 2 | 343, 230, 69, 72, 103 |
| 3 | 343, 115, 69, 36, 103 |
| 23 | 343, 115, 23, 12, 103 |
| 343, 5, 1, 12, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 343 x 5 x 1 x 12 x 103 = 585048240
Therefore, the lowest common multiple of 343,460,138,144,206 is 585048240.
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.
343 x 460 x 138 x 144 x 206 = 645893256960
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.
343 : 1, 7, 49, 343
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
138 : 1, 2, 3, 6, 23, 46, 69, 138
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
206 : 1, 2, 103, 206
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,460,138,144,206, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
460:2x 2x 5x 23
138:2x 3x 23
144:2x 2x 2x 2x 3x 3
206:2x 103
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 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 645893256960/(1x1104)
LCM = 645893256960/1104
LCM = 585048240
Thus, we can understand that the LCM of 343,460,138,144,206 is 585048240.
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FAQs on LCM of 343, 460, 138, 144, 206
1. What is the LCM of 343, 460, 138, 144, 206?
Answer: LCM of 343, 460, 138, 144, 206 is 585048240.
2. How to calculate the LCM of 343, 460, 138, 144, 206?
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 343, 460, 138, 144, 206.
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}.