Given numbers are 208,366,936,119,917

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

The LCM of 208,366,936,119,917 is 1780139088.

Find LCM of 208,366,936,119,917 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 2 x 61 x 3 x 17 x 131 = 1780139088

Therefore, the lowest common multiple of 208,366,936,119,917 is 1780139088.

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 366 x 936 x 119 x 917 = 7775647536384

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

119 : 1, 7, 17, 119

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,366,936,119,917, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

366:2x 3x 61

936:2x 2x 2x 3x 3x 13

119:7x 17

917:7x 131

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 3x 7x 13 = 4368

Therefore, the value for common factors is 4368.

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 = 7775647536384/(1x4368)

LCM = 7775647536384/4368

LCM = 1780139088

Thus, we can understand that the LCM of 208,366,936,119,917 is 1780139088.

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

• LCM of 848, 723, 584, 834, 404
• LCM of 113, 880, 935, 880, 951
• LCM of 239, 638, 313, 926, 657
• LCM of 589, 685, 744, 971, 124
• LCM of 698, 556, 218, 520, 761

1. What is the LCM of 208, 366, 936, 119, 917?

Answer: LCM of 208, 366, 936, 119, 917 is 1780139088.

2. How to calculate the LCM of 208, 366, 936, 119, 917?

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, 366, 936, 119, 917.

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}.