Given numbers are 393,698,248,310

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

The LCM of 393,698,248,310 is 170074680.

Find LCM of 393,698,248,310 with Prime Factorization

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

2 x 31 x 393 x 349 x 4 x 5 = 170074680

Therefore, the lowest common multiple of 393,698,248,310 is 170074680.

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 698 x 248 x 310 = 21089260320

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

698 : 1, 2, 349, 698

248 : 1, 2, 4, 8, 31, 62, 124, 248

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,698,248,310, is 1.

Now, the common factors can be found like this.

393:3x 131

698:2x 349

248:2x 2x 2x 31

310:2x 5x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 21089260320/(1x124)

LCM = 21089260320/124

LCM = 170074680

Thus, we can understand that the LCM of 393,698,248,310 is 170074680.

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

• LCM of 566, 241, 491, 186
• LCM of 251, 581, 570, 826
• LCM of 287, 403, 147, 566
• LCM of 804, 626, 655, 183
• LCM of 450, 805, 141, 973

1. What is the LCM of 393, 698, 248, 310?

Answer: LCM of 393, 698, 248, 310 is 170074680.

2. How to calculate the LCM of 393, 698, 248, 310?

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, 698, 248, 310.

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}.