Given numbers are 298,728,250,176,442

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

The LCM of 298,728,250,176,442 is 5071066000.

Find LCM of 298,728,250,176,442 with Prime Factorization

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

2 x 2 x 2 x 13 x 149 x 7 x 125 x 22 x 17 = 5071066000

Therefore, the lowest common multiple of 298,728,250,176,442 is 5071066000.

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 728 x 250 x 176 x 442 = 4219126912000

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

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

250 : 1, 2, 5, 10, 25, 50, 125, 250

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

442 : 1, 2, 13, 17, 26, 34, 221, 442

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,728,250,176,442, is 2.

Now, the common factors can be found like this.

298:2x 149

728:2x 2x 2x 7x 13

250:2x 5x 5x 5

176:2x 2x 2x 2x 11

442:2x 13x 17

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

2x 2x 2x 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 4219126912000/(2x416)

LCM = 4219126912000/832

LCM = 5071066000

Thus, we can understand that the LCM of 298,728,250,176,442 is 5071066000.

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

• LCM of 688, 408, 421, 938, 746
• LCM of 133, 540, 445, 871, 249
• LCM of 539, 638, 429, 135, 517
• LCM of 843, 897, 170, 165, 956
• LCM of 815, 264, 194, 513, 988

1. What is the LCM of 298, 728, 250, 176, 442?

Answer: LCM of 298, 728, 250, 176, 442 is 5071066000.

2. How to calculate the LCM of 298, 728, 250, 176, 442?

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, 728, 250, 176, 442.

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}.