Given numbers are 574,440,298,388,984

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

The LCM of 574,440,298,388,984 is 5475374520.

Find LCM of 574,440,298,388,984 with Prime Factorization

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

2 x 2 x 2 x 41 x 7 x 55 x 149 x 97 x 3 = 5475374520

Therefore, the lowest common multiple of 574,440,298,388,984 is 5475374520.

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.

574 x 440 x 298 x 388 x 984 = 28734765480960

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

298 : 1, 2, 149, 298

388 : 1, 2, 4, 97, 194, 388

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,440,298,388,984, is 2.

Now, the common factors can be found like this.

574:2x 7x 41

440:2x 2x 2x 5x 11

298:2x 149

388:2x 2x 97

984:2x 2x 2x 3x 41

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 2x 41 = 2624

Therefore, the value for common factors is 2624.

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 = 28734765480960/(2x2624)

LCM = 28734765480960/5248

LCM = 5475374520

Thus, we can understand that the LCM of 574,440,298,388,984 is 5475374520.

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

• LCM of 402, 702, 614, 101, 732
• LCM of 685, 708, 320, 662, 510
• LCM of 863, 340, 419, 824, 616
• LCM of 564, 488, 256, 757, 875
• LCM of 288, 303, 223, 783, 187

1. What is the LCM of 574, 440, 298, 388, 984?

Answer: LCM of 574, 440, 298, 388, 984 is 5475374520.

2. How to calculate the LCM of 574, 440, 298, 388, 984?

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 574, 440, 298, 388, 984.

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}.