Given numbers are 298,493,728

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

The LCM of 298,493,728 is 53476696.

Find LCM of 298,493,728 with Prime Factorization

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

2 x 149 x 493 x 364 = 53476696

Therefore, the lowest common multiple of 298,493,728 is 53476696.

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.

298 x 493 x 728 = 106953392

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.

298 : 1, 2, 149, 298

493 : 1, 17, 29, 493

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,493,728, is 1.

Now, the common factors can be found like this.

298:2x 149

493:17x 29

728:2x 2x 2x 7x 13

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 = 106953392/(1x2)

LCM = 106953392/2

LCM = 53476696

Thus, we can understand that the LCM of 298,493,728 is 53476696.

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

• LCM of 655, 878, 510
• LCM of 843, 743, 848
• LCM of 878, 771, 211
• LCM of 671, 897, 740
• LCM of 440, 731, 652

1. What is the LCM of 298, 493, 728?

Answer: LCM of 298, 493, 728 is 53476696.

2. How to calculate the LCM of 298, 493, 728?

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 298, 493, 728.

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}.