Given numbers are 828,698,642,131,286

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

The LCM of 828,698,642,131,286 is 579224434932.

Find LCM of 828,698,642,131,286 with Prime Factorization

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

2 x 3 x 138 x 349 x 107 x 131 x 143 = 579224434932

Therefore, the lowest common multiple of 828,698,642,131,286 is 579224434932.

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.

828 x 698 x 642 x 131 x 286 = 13901386438368

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

698 : 1, 2, 349, 698

642 : 1, 2, 3, 6, 107, 214, 321, 642

131 : 1, 131

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,698,642,131,286, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

698:2x 349

642:2x 3x 107

131:131

286:2x 11x 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 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 = 13901386438368/(1x24)

LCM = 13901386438368/24

LCM = 579224434932

Thus, we can understand that the LCM of 828,698,642,131,286 is 579224434932.

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

• LCM of 492, 613, 992, 466, 155
• LCM of 772, 777, 645, 133, 474
• LCM of 127, 167, 214, 632, 443
• LCM of 383, 522, 870, 728, 574
• LCM of 245, 335, 745, 523, 818

1. What is the LCM of 828, 698, 642, 131, 286?

Answer: LCM of 828, 698, 642, 131, 286 is 579224434932.

2. How to calculate the LCM of 828, 698, 642, 131, 286?

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 828, 698, 642, 131, 286.

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}.