LCM of 205, 616, 538, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 616, 538, 462 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 205, 616, 538, 462. So, keep reading to learn more.
Given numbers are 205,616,538,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,616,538,462 is 101907960.
Find LCM of 205,616,538,462 with Prime Factorization
| 2 | 205, 616, 538, 462 |
| 7 | 205, 308, 269, 231 |
| 11 | 205, 44, 269, 33 |
| 205, 4, 269, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 205 x 4 x 269 x 3 = 101907960
Therefore, the lowest common multiple of 205,616,538,462 is 101907960.
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.
205 x 616 x 538 x 462 = 31387651680
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.
205 : 1, 5, 41, 205
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
538 : 1, 2, 269, 538
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,616,538,462, is 1.
Now, the common factors can be found like this.
205:5x 41
616:2x 2x 2x 7x 11
538:2x 269
462:2x 3x 7x 11
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 31387651680/(1x308)
LCM = 31387651680/308
LCM = 101907960
Thus, we can understand that the LCM of 205,616,538,462 is 101907960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 205, 616, 538, 462
1. What is the LCM of 205, 616, 538, 462?
Answer: LCM of 205, 616, 538, 462 is 101907960.
2. How to calculate the LCM of 205, 616, 538, 462?
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 205, 616, 538, 462.
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}.