Given numbers are 540,698,590,320

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

The LCM of 540,698,590,320 is 177906240.

Find LCM of 540,698,590,320 with Prime Factorization

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

2 x 2 x 5 x 27 x 349 x 59 x 16 = 177906240

Therefore, the lowest common multiple of 540,698,590,320 is 177906240.

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.

540 x 698 x 590 x 320 = 71162496000

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

698 : 1, 2, 349, 698

590 : 1, 2, 5, 10, 59, 118, 295, 590

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,698,590,320, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

698:2x 349

590:2x 5x 59

320:2x 2x 2x 2x 2x 2x 5

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 71162496000/(2x200)

LCM = 71162496000/400

LCM = 177906240

Thus, we can understand that the LCM of 540,698,590,320 is 177906240.

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

• LCM of 771, 262, 131, 305
• LCM of 160, 712, 831, 222
• LCM of 683, 481, 611, 640
• LCM of 893, 601, 978, 406
• LCM of 809, 388, 433, 164

1. What is the LCM of 540, 698, 590, 320?

Answer: LCM of 540, 698, 590, 320 is 177906240.

2. How to calculate the LCM of 540, 698, 590, 320?

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 540, 698, 590, 320.

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}.