Given numbers are 829,208,688,286

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

The LCM of 829,208,688,286 is 81560336.

Find LCM of 829,208,688,286 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 829 x 1 x 43 x 11 = 81560336

Therefore, the lowest common multiple of 829,208,688,286 is 81560336.

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.

829 x 208 x 688 x 286 = 33929099776

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.

829 : 1, 829

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 829,208,688,286, is 1.

Now, the common factors can be found like this.

829:829

208:2x 2x 2x 2x 13

688:2x 2x 2x 2x 43

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 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 33929099776/(1x416)

LCM = 33929099776/416

LCM = 81560336

Thus, we can understand that the LCM of 829,208,688,286 is 81560336.

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

• LCM of 828, 347, 206, 462
• LCM of 550, 285, 522, 882
• LCM of 994, 211, 509, 712
• LCM of 424, 441, 266, 700
• LCM of 644, 990, 633, 543

1. What is the LCM of 829, 208, 688, 286?

Answer: LCM of 829, 208, 688, 286 is 81560336.

2. How to calculate the LCM of 829, 208, 688, 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 829, 208, 688, 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}.