Given numbers are 388,532,282,336,509

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

The LCM of 388,532,282,336,509 is 14814269904.

Find LCM of 388,532,282,336,509 with Prime Factorization

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

2 x 2 x 3 x 7 x 97 x 19 x 47 x 4 x 509 = 14814269904

Therefore, the lowest common multiple of 388,532,282,336,509 is 14814269904.

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.

388 x 532 x 282 x 336 x 509 = 9955189375488

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.

388 : 1, 2, 4, 97, 194, 388

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

282 : 1, 2, 3, 6, 47, 94, 141, 282

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,532,282,336,509, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

532:2x 2x 7x 19

282:2x 3x 47

336:2x 2x 2x 2x 3x 7

509:509

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 2x 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 9955189375488/(1x672)

LCM = 9955189375488/672

LCM = 14814269904

Thus, we can understand that the LCM of 388,532,282,336,509 is 14814269904.

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

• LCM of 254, 878, 671, 865, 596
• LCM of 157, 555, 346, 560, 623
• LCM of 764, 448, 310, 803, 744
• LCM of 698, 638, 884, 767, 685
• LCM of 641, 776, 574, 523, 736

1. What is the LCM of 388, 532, 282, 336, 509?

Answer: LCM of 388, 532, 282, 336, 509 is 14814269904.

2. How to calculate the LCM of 388, 532, 282, 336, 509?

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 388, 532, 282, 336, 509.

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}.