Given numbers are 493,374,857,760

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

The LCM of 493,374,857,760 is 3532108360.

Find LCM of 493,374,857,760 with Prime Factorization

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

2 x 17 x 29 x 11 x 857 x 380 = 3532108360

Therefore, the lowest common multiple of 493,374,857,760 is 3532108360.

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.

493 x 374 x 857 x 760 = 120091684240

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.

493 : 1, 17, 29, 493

374 : 1, 2, 11, 17, 22, 34, 187, 374

857 : 1, 857

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,374,857,760, is 1.

Now, the common factors can be found like this.

493:17x 29

374:2x 11x 17

857:857

760:2x 2x 2x 5x 19

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 120091684240/(1x34)

LCM = 120091684240/34

LCM = 3532108360

Thus, we can understand that the LCM of 493,374,857,760 is 3532108360.

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

• LCM of 734, 367, 780, 142
• LCM of 280, 869, 265, 880
• LCM of 823, 309, 884, 117
• LCM of 680, 709, 500, 746
• LCM of 311, 880, 128, 816

1. What is the LCM of 493, 374, 857, 760?

Answer: LCM of 493, 374, 857, 760 is 3532108360.

2. How to calculate the LCM of 493, 374, 857, 760?

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 493, 374, 857, 760.

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}.