LCM of 486, 517, 312, 538, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 517, 312, 538, 234 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, 517, 312, 538, 234. So, keep reading to learn more.
Given numbers are 486,517,312,538,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,517,312,538,234 is 3514652856.
Find LCM of 486,517,312,538,234 with Prime Factorization
| 2 | 486, 517, 312, 538, 234 |
| 3 | 243, 517, 156, 269, 117 |
| 3 | 81, 517, 52, 269, 39 |
| 13 | 27, 517, 52, 269, 13 |
| 27, 517, 4, 269, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 27 x 517 x 4 x 269 x 1 = 3514652856
Therefore, the lowest common multiple of 486,517,312,538,234 is 3514652856.
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 517 x 312 x 538 x 234 = 9869145219648
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
517 : 1, 11, 47, 517
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
538 : 1, 2, 269, 538
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,517,312,538,234, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
517:11x 47
312:2x 2x 2x 3x 13
538:2x 269
234:2x 3x 3x 13
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 3x 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 9869145219648/(1x2808)
LCM = 9869145219648/2808
LCM = 3514652856
Thus, we can understand that the LCM of 486,517,312,538,234 is 3514652856.
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FAQs on LCM of 486, 517, 312, 538, 234
1. What is the LCM of 486, 517, 312, 538, 234?
Answer: LCM of 486, 517, 312, 538, 234 is 3514652856.
2. How to calculate the LCM of 486, 517, 312, 538, 234?
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, 517, 312, 538, 234.
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}.