Given numbers are 115,118,182,814

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

The LCM of 115,118,182,814 is 502592090.

Find LCM of 115,118,182,814 with Prime Factorization

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

2 x 115 x 59 x 91 x 407 = 502592090

Therefore, the lowest common multiple of 115,118,182,814 is 502592090.

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.

115 x 118 x 182 x 814 = 2010368360

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.

115 : 1, 5, 23, 115

118 : 1, 2, 59, 118

182 : 1, 2, 7, 13, 14, 26, 91, 182

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,118,182,814, is 1.

Now, the common factors can be found like this.

115:5x 23

118:2x 59

182:2x 7x 13

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2010368360/(1x4)

LCM = 2010368360/4

LCM = 502592090

Thus, we can understand that the LCM of 115,118,182,814 is 502592090.

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

• LCM of 513, 468, 530, 381
• LCM of 488, 820, 690, 504
• LCM of 221, 860, 858, 751
• LCM of 871, 406, 311, 944
• LCM of 290, 154, 568, 512

1. What is the LCM of 115, 118, 182, 814?

Answer: LCM of 115, 118, 182, 814 is 502592090.

2. How to calculate the LCM of 115, 118, 182, 814?

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 115, 118, 182, 814.

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}.