Given numbers are 630,509,471,312

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

The LCM of 630,509,471,312 is 2617949880.

Find LCM of 630,509,471,312 with Prime Factorization

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

2 x 3 x 105 x 509 x 157 x 52 = 2617949880

Therefore, the lowest common multiple of 630,509,471,312 is 2617949880.

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.

630 x 509 x 471 x 312 = 47123097840

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

509 : 1, 509

471 : 1, 3, 157, 471

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,509,471,312, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

509:509

471:3x 157

312:2x 2x 2x 3x 13

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 3 = 18

Therefore, the value for common factors is 18.

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 = 47123097840/(1x18)

LCM = 47123097840/18

LCM = 2617949880

Thus, we can understand that the LCM of 630,509,471,312 is 2617949880.

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

• LCM of 684, 301, 479, 474
• LCM of 752, 113, 337, 385
• LCM of 840, 935, 906, 599
• LCM of 626, 256, 495, 730
• LCM of 196, 313, 143, 298

1. What is the LCM of 630, 509, 471, 312?

Answer: LCM of 630, 509, 471, 312 is 2617949880.

2. How to calculate the LCM of 630, 509, 471, 312?

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 630, 509, 471, 312.

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}.