LCM of 568, 946, 538, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 568, 946, 538, 516 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 568, 946, 538, 516. So, keep reading to learn more.
Given numbers are 568,946,538,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,946,538,516 is 216811848.
Find LCM of 568,946,538,516 with Prime Factorization
| 2 | 568, 946, 538, 516 |
| 2 | 284, 473, 269, 258 |
| 43 | 142, 473, 269, 129 |
| 142, 11, 269, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 142 x 11 x 269 x 3 = 216811848
Therefore, the lowest common multiple of 568,946,538,516 is 216811848.
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.
568 x 946 x 538 x 516 = 149166551424
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
946 : 1, 2, 11, 22, 43, 86, 473, 946
538 : 1, 2, 269, 538
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,946,538,516, is 2.
Now, the common factors can be found like this.
568:2x 2x 2x 71
946:2x 11x 43
538:2x 269
516:2x 2x 3x 43
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 43 = 344
Therefore, the value for common factors is 344.
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 = 149166551424/(2x344)
LCM = 149166551424/688
LCM = 216811848
Thus, we can understand that the LCM of 568,946,538,516 is 216811848.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 568, 946, 538, 516
1. What is the LCM of 568, 946, 538, 516?
Answer: LCM of 568, 946, 538, 516 is 216811848.
2. How to calculate the LCM of 568, 946, 538, 516?
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 568, 946, 538, 516.
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}.