Given numbers are 486,504,351,513

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 486,504,351,513 is 3361176.

Find LCM of 486,504,351,513 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 3 x 3 x 9 x 28 x 13 x 19 = 3361176

Therefore, the lowest common multiple of 486,504,351,513 is 3361176.

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 504 x 351 x 513 = 44105351472

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

351 : 1, 3, 9, 13, 27, 39, 117, 351

513 : 1, 3, 9, 19, 27, 57, 171, 513

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,504,351,513, is 9.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

504:2x 2x 2x 3x 3x 7

351:3x 3x 3x 13

513:3x 3x 3x 19

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 3x 3x 3x 3 = 1458

Therefore, the value for common factors is 1458.

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 = 44105351472/(9x1458)

LCM = 44105351472/13122

LCM = 3361176

Thus, we can understand that the LCM of 486,504,351,513 is 3361176.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 770, 567, 333, 178
• LCM of 528, 175, 231, 993
• LCM of 341, 784, 364, 649
• LCM of 863, 763, 760, 929
• LCM of 949, 427, 899, 233

1. What is the LCM of 486, 504, 351, 513?

Answer: LCM of 486, 504, 351, 513 is 3361176.

2. How to calculate the LCM of 486, 504, 351, 513?

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, 504, 351, 513.

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}.