Given numbers are 493,701,493,349

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

The LCM of 493,701,493,349 is 120611957.

Find LCM of 493,701,493,349 with Prime Factorization

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

17 x 29 x 1 x 701 x 1 x 349 = 120611957

Therefore, the lowest common multiple of 493,701,493,349 is 120611957.

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.

493 x 701 x 493 x 349 = 59461694801

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.

493 : 1, 17, 29, 493

701 : 1, 701

493 : 1, 17, 29, 493

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,701,493,349, is 1.

Now, the common factors can be found like this.

493:17x 29

701:701

493:17x 29

349:349

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

17x 29 = 493

Therefore, the value for common factors is 493.

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 = 59461694801/(1x493)

LCM = 59461694801/493

LCM = 120611957

Thus, we can understand that the LCM of 493,701,493,349 is 120611957.

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

• LCM of 451, 765, 744, 622
• LCM of 766, 445, 525, 743
• LCM of 505, 821, 886, 333
• LCM of 922, 556, 317, 419
• LCM of 960, 700, 146, 482

1. What is the LCM of 493, 701, 493, 349?

Answer: LCM of 493, 701, 493, 349 is 120611957.

2. How to calculate the LCM of 493, 701, 493, 349?

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 493, 701, 493, 349.

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}.