Given numbers are 510,756,633,539

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

The LCM of 510,756,633,539 is 1044032220.

Find LCM of 510,756,633,539 with Prime Factorization

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

2 x 3 x 7 x 85 x 18 x 211 x 77 = 1044032220

Therefore, the lowest common multiple of 510,756,633,539 is 1044032220.

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.

510 x 756 x 633 x 539 = 131548059720

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

633 : 1, 3, 211, 633

539 : 1, 7, 11, 49, 77, 539

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,756,633,539, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

756:2x 2x 3x 3x 3x 7

633:3x 211

539:7x 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 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 131548059720/(1x126)

LCM = 131548059720/126

LCM = 1044032220

Thus, we can understand that the LCM of 510,756,633,539 is 1044032220.

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

• LCM of 150, 200, 933, 256
• LCM of 381, 467, 974, 644
• LCM of 719, 320, 967, 650
• LCM of 993, 420, 321, 866
• LCM of 979, 437, 362, 119

1. What is the LCM of 510, 756, 633, 539?

Answer: LCM of 510, 756, 633, 539 is 1044032220.

2. How to calculate the LCM of 510, 756, 633, 539?

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 510, 756, 633, 539.

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}.