Given numbers are 116,208,874,642,107

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

The LCM of 116,208,874,642,107 is 846150864.

Find LCM of 116,208,874,642,107 with Prime Factorization

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

2 x 2 x 107 x 29 x 52 x 437 x 3 x 1 = 846150864

Therefore, the lowest common multiple of 116,208,874,642,107 is 846150864.

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.

116 x 208 x 874 x 642 x 107 = 1448610279168

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.

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

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

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

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,208,874,642,107, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

208:2x 2x 2x 2x 13

874:2x 19x 23

642:2x 3x 107

107:107

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 107 = 1712

Therefore, the value for common factors is 1712.

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 = 1448610279168/(1x1712)

LCM = 1448610279168/1712

LCM = 846150864

Thus, we can understand that the LCM of 116,208,874,642,107 is 846150864.

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

• LCM of 139, 828, 711, 779, 206
• LCM of 181, 351, 307, 363, 467
• LCM of 902, 442, 115, 964, 187
• LCM of 791, 841, 878, 165, 711
• LCM of 178, 385, 200, 171, 573

1. What is the LCM of 116, 208, 874, 642, 107?

Answer: LCM of 116, 208, 874, 642, 107 is 846150864.

2. How to calculate the LCM of 116, 208, 874, 642, 107?

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 116, 208, 874, 642, 107.

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}.