Given numbers are 790,286,974,14

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

The LCM of 790,286,974,14 is 385114730.

Find LCM of 790,286,974,14 with Prime Factorization

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

2 x 395 x 143 x 487 x 7 = 385114730

Therefore, the lowest common multiple of 790,286,974,14 is 385114730.

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.

790 x 286 x 974 x 14 = 3080917840

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

286 : 1, 2, 11, 13, 22, 26, 143, 286

974 : 1, 2, 487, 974

14 : 1, 2, 7, 14

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,286,974,14, is 2.

Now, the common factors can be found like this.

790:2x 5x 79

286:2x 11x 13

974:2x 487

14:2x 7

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 = 3080917840/(2x4)

LCM = 3080917840/8

LCM = 385114730

Thus, we can understand that the LCM of 790,286,974,14 is 385114730.

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

• LCM of 433, 360, 374, 16
• LCM of 295, 152, 847, 87
• LCM of 862, 278, 156, 39
• LCM of 281, 124, 878, 87
• LCM of 480, 968, 942, 25

1. What is the LCM of 790, 286, 974, 14?

Answer: LCM of 790, 286, 974, 14 is 385114730.

2. How to calculate the LCM of 790, 286, 974, 14?

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 790, 286, 974, 14.

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}.