Given numbers are 428,497,762,864,389

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

The LCM of 428,497,762,864,389 is 2269902646368.

Find LCM of 428,497,762,864,389 with Prime Factorization

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

2 x 2 x 3 x 107 x 497 x 127 x 72 x 389 = 2269902646368

Therefore, the lowest common multiple of 428,497,762,864,389 is 2269902646368.

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.

428 x 497 x 762 x 864 x 389 = 54477663512832

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.

428 : 1, 2, 4, 107, 214, 428

497 : 1, 7, 71, 497

762 : 1, 2, 3, 6, 127, 254, 381, 762

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,497,762,864,389, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

497:7x 71

762:2x 3x 127

864:2x 2x 2x 2x 2x 3x 3x 3

389:389

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 3 = 24

Therefore, the value for common factors is 24.

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 = 54477663512832/(1x24)

LCM = 54477663512832/24

LCM = 2269902646368

Thus, we can understand that the LCM of 428,497,762,864,389 is 2269902646368.

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

• LCM of 917, 182, 602, 619, 932
• LCM of 889, 524, 689, 432, 475
• LCM of 891, 261, 499, 696, 794
• LCM of 829, 931, 264, 935, 358
• LCM of 873, 827, 431, 848, 194

1. What is the LCM of 428, 497, 762, 864, 389?

Answer: LCM of 428, 497, 762, 864, 389 is 2269902646368.

2. How to calculate the LCM of 428, 497, 762, 864, 389?

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 428, 497, 762, 864, 389.

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}.