Given numbers are 486,461,871,314

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

The LCM of 486,461,871,314 is 30637618362.

Find LCM of 486,461,871,314 with Prime Factorization

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

2 x 243 x 461 x 871 x 157 = 30637618362

Therefore, the lowest common multiple of 486,461,871,314 is 30637618362.

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.

486 x 461 x 871 x 314 = 61275236724

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.

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

461 : 1, 461

871 : 1, 13, 67, 871

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,461,871,314, is 1.

Now, the common factors can be found like this.

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

461:461

871:13x 67

314:2x 157

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

2 = 2

Therefore, the value for common factors is 2.

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 = 61275236724/(1x2)

LCM = 61275236724/2

LCM = 30637618362

Thus, we can understand that the LCM of 486,461,871,314 is 30637618362.

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

• LCM of 240, 343, 805, 444
• LCM of 311, 500, 393, 490
• LCM of 229, 692, 149, 590
• LCM of 706, 403, 124, 307
• LCM of 156, 982, 543, 577

1. What is the LCM of 486, 461, 871, 314?

Answer: LCM of 486, 461, 871, 314 is 30637618362.

2. How to calculate the LCM of 486, 461, 871, 314?

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 486, 461, 871, 314.

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}.