Find the LCM of 516, 409, 694, 652, 578 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 516, 409, 694, 652, 578. So, keep reading to learn more.
Given numbers are 516,409,694,652,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,409,694,652,578 is 3449752448676.
Find LCM of 516,409,694,652,578 with Prime Factorization
2 | 516, 409, 694, 652, 578 |
2 | 258, 409, 347, 326, 289 |
129, 409, 347, 163, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 129 x 409 x 347 x 163 x 289 = 3449752448676
Therefore, the lowest common multiple of 516,409,694,652,578 is 3449752448676.
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.
516 x 409 x 694 x 652 x 578 = 55196039178816
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.
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
409 : 1, 409
694 : 1, 2, 347, 694
652 : 1, 2, 4, 163, 326, 652
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,409,694,652,578, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
409:409
694:2x 347
652:2x 2x 163
578:2x 17x 17
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 2 = 16
Therefore, the value for common factors is 16.
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 = 55196039178816/(1x16)
LCM = 55196039178816/16
LCM = 3449752448676
Thus, we can understand that the LCM of 516,409,694,652,578 is 3449752448676.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 516, 409, 694, 652, 578?
Answer: LCM of 516, 409, 694, 652, 578 is 3449752448676.
2. How to calculate the LCM of 516, 409, 694, 652, 578?
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 516, 409, 694, 652, 578.
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}.