Given numbers are 513,544,566

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

The LCM of 513,544,566 is 78977376.

Find LCM of 513,544,566 with Prime Factorization

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

2 x 513 x 272 x 283 = 78977376

Therefore, the lowest common multiple of 513,544,566 is 78977376.

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.

513 x 544 x 566 = 157954752

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.

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,544,566, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

544:2x 2x 2x 2x 2x 17

566:2x 283

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 157954752/(1x2)

LCM = 157954752/2

LCM = 78977376

Thus, we can understand that the LCM of 513,544,566 is 78977376.

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

• LCM of 649, 389, 711
• LCM of 179, 921, 601
• LCM of 724, 725, 652
• LCM of 340, 670, 132
• LCM of 291, 264, 205

1. What is the LCM of 513, 544, 566?

Answer: LCM of 513, 544, 566 is 78977376.

2. How to calculate the LCM of 513, 544, 566?

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 513, 544, 566.

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}.