Given numbers are 208,696,497,116

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

The LCM of 208,696,497,116 is 8993712.

Find LCM of 208,696,497,116 with Prime Factorization

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

2 x 2 x 2 x 29 x 26 x 3 x 497 x 1 = 8993712

Therefore, the lowest common multiple of 208,696,497,116 is 8993712.

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.

208 x 696 x 497 x 116 = 8346164736

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.

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

497 : 1, 7, 71, 497

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,696,497,116, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

696:2x 2x 2x 3x 29

497:7x 71

116:2x 2x 29

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 29 = 928

Therefore, the value for common factors is 928.

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 = 8346164736/(1x928)

LCM = 8346164736/928

LCM = 8993712

Thus, we can understand that the LCM of 208,696,497,116 is 8993712.

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

• LCM of 981, 191, 937, 587
• LCM of 890, 548, 338, 335
• LCM of 417, 385, 762, 928
• LCM of 991, 404, 103, 750
• LCM of 346, 742, 837, 106

1. What is the LCM of 208, 696, 497, 116?

Answer: LCM of 208, 696, 497, 116 is 8993712.

2. How to calculate the LCM of 208, 696, 497, 116?

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 208, 696, 497, 116.

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}.