Given numbers are 493,406,860

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

The LCM of 493,406,860 is 2967860.

Find LCM of 493,406,860 with Prime Factorization

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

2 x 29 x 17 x 7 x 430 = 2967860

Therefore, the lowest common multiple of 493,406,860 is 2967860.

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 406 x 860 = 172135880

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,406,860, is 1.

Now, the common factors can be found like this.

493:17x 29

406:2x 7x 29

860:2x 2x 5x 43

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 172135880/(1x58)

LCM = 172135880/58

LCM = 2967860

Thus, we can understand that the LCM of 493,406,860 is 2967860.

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

• LCM of 874, 519, 783
• LCM of 940, 426, 487
• LCM of 662, 762, 433
• LCM of 540, 728, 991
• LCM of 656, 753, 475

1. What is the LCM of 493, 406, 860?

Answer: LCM of 493, 406, 860 is 2967860.

2. How to calculate the LCM of 493, 406, 860?

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, 406, 860.

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}.