LCM of 486, 343, 309, 447, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 343, 309, 447, 762 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 486, 343, 309, 447, 762. So, keep reading to learn more.
Given numbers are 486,343,309,447,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,343,309,447,762 is 324905904162.
Find LCM of 486,343,309,447,762 with Prime Factorization
| 2 | 486, 343, 309, 447, 762 |
| 3 | 243, 343, 309, 447, 381 |
| 81, 343, 103, 149, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 81 x 343 x 103 x 149 x 127 = 324905904162
Therefore, the lowest common multiple of 486,343,309,447,762 is 324905904162.
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.
486 x 343 x 309 x 447 x 762 = 17544918824748
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
343 : 1, 7, 49, 343
309 : 1, 3, 103, 309
447 : 1, 3, 149, 447
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,343,309,447,762, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
343:7x 7x 7
309:3x 103
447:3x 149
762:2x 3x 127
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 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 17544918824748/(1x54)
LCM = 17544918824748/54
LCM = 324905904162
Thus, we can understand that the LCM of 486,343,309,447,762 is 324905904162.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 486, 343, 309, 447, 762
1. What is the LCM of 486, 343, 309, 447, 762?
Answer: LCM of 486, 343, 309, 447, 762 is 324905904162.
2. How to calculate the LCM of 486, 343, 309, 447, 762?
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 486, 343, 309, 447, 762.
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}.