Given numbers are 314,461,461,493

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

The LCM of 314,461,461,493 is 71363722.

Find LCM of 314,461,461,493 with Prime Factorization

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

461 x 314 x 1 x 1 x 493 = 71363722

Therefore, the lowest common multiple of 314,461,461,493 is 71363722.

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 461 x 461 x 493 = 32898675842

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

461 : 1, 461

461 : 1, 461

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,461,461,493, is 1.

Now, the common factors can be found like this.

314:2x 157

461:461

461:461

493:17x 29

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

461 = 461

Therefore, the value for common factors is 461.

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 = 32898675842/(1x461)

LCM = 32898675842/461

LCM = 71363722

Thus, we can understand that the LCM of 314,461,461,493 is 71363722.

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

• LCM of 386, 170, 185, 551
• LCM of 140, 759, 307, 483
• LCM of 743, 549, 363, 333
• LCM of 230, 440, 249, 415
• LCM of 801, 580, 237, 153

1. What is the LCM of 314, 461, 461, 493?

Answer: LCM of 314, 461, 461, 493 is 71363722.

2. How to calculate the LCM of 314, 461, 461, 493?

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, 461, 461, 493.

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}.