Given numbers are 314,364,446,486

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

The LCM of 314,364,446,486 is 3096792972.

Find LCM of 314,364,446,486 with Prime Factorization

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

2 x 157 x 182 x 223 x 243 = 3096792972

Therefore, the lowest common multiple of 314,364,446,486 is 3096792972.

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.

314 x 364 x 446 x 486 = 24774343776

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.

314 : 1, 2, 157, 314

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

446 : 1, 2, 223, 446

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,364,446,486, is 2.

Now, the common factors can be found like this.

314:2x 157

364:2x 2x 7x 13

446:2x 223

486:2x 3x 3x 3x 3x 3

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 = 24774343776/(2x4)

LCM = 24774343776/8

LCM = 3096792972

Thus, we can understand that the LCM of 314,364,446,486 is 3096792972.

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

• LCM of 373, 991, 604, 310
• LCM of 797, 661, 314, 341
• LCM of 810, 650, 922, 254
• LCM of 985, 754, 288, 490
• LCM of 385, 859, 462, 526

1. What is the LCM of 314, 364, 446, 486?

Answer: LCM of 314, 364, 446, 486 is 3096792972.

2. How to calculate the LCM of 314, 364, 446, 486?

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 314, 364, 446, 486.

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}.