Given numbers are 138,186,194,786

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

The LCM of 138,186,194,786 is 54360546.

Find LCM of 138,186,194,786 with Prime Factorization

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

2 x 3 x 23 x 31 x 97 x 131 = 54360546

Therefore, the lowest common multiple of 138,186,194,786 is 54360546.

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.

138 x 186 x 194 x 786 = 3913959312

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

186 : 1, 2, 3, 6, 31, 62, 93, 186

194 : 1, 2, 97, 194

786 : 1, 2, 3, 6, 131, 262, 393, 786

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,186,194,786, is 2.

Now, the common factors can be found like this.

138:2x 3x 23

186:2x 3x 31

194:2x 97

786:2x 3x 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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 3913959312/(2x36)

LCM = 3913959312/72

LCM = 54360546

Thus, we can understand that the LCM of 138,186,194,786 is 54360546.

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

• LCM of 845, 764, 146, 578
• LCM of 231, 505, 224, 408
• LCM of 877, 979, 466, 909
• LCM of 585, 438, 959, 811
• LCM of 726, 385, 123, 951

1. What is the LCM of 138, 186, 194, 786?

Answer: LCM of 138, 186, 194, 786 is 54360546.

2. How to calculate the LCM of 138, 186, 194, 786?

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 138, 186, 194, 786.

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}.