Given numbers are 393,171,493,624

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

The LCM of 393,171,493,624 is 2297088144.

Find LCM of 393,171,493,624 with Prime Factorization

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

3 x 131 x 57 x 493 x 208 = 2297088144

Therefore, the lowest common multiple of 393,171,493,624 is 2297088144.

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.

393 x 171 x 493 x 624 = 20673793296

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.

393 : 1, 3, 131, 393

171 : 1, 3, 9, 19, 57, 171

493 : 1, 17, 29, 493

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,171,493,624, is 1.

Now, the common factors can be found like this.

393:3x 131

171:3x 3x 19

493:17x 29

624:2x 2x 2x 2x 3x 13

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 20673793296/(1x9)

LCM = 20673793296/9

LCM = 2297088144

Thus, we can understand that the LCM of 393,171,493,624 is 2297088144.

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

• LCM of 782, 160, 227, 193
• LCM of 656, 485, 288, 699
• LCM of 152, 991, 778, 310
• LCM of 738, 709, 179, 428
• LCM of 480, 524, 924, 873

1. What is the LCM of 393, 171, 493, 624?

Answer: LCM of 393, 171, 493, 624 is 2297088144.

2. How to calculate the LCM of 393, 171, 493, 624?

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 393, 171, 493, 624.

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}.