Given numbers are 540,625,910,728

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

The LCM of 540,625,910,728 is 12285000.

Find LCM of 540,625,910,728 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 27 x 125 x 1 x 2 = 12285000

Therefore, the lowest common multiple of 540,625,910,728 is 12285000.

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 625 x 910 x 728 = 223587000000

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

625 : 1, 5, 25, 125, 625

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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 540,625,910,728, is 1.

Now, the common factors can be found like this.

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

625:5x 5x 5x 5

910:2x 5x 7x 13

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.

2x 2x 2x 5x 5x 7x 13 = 18200

Therefore, the value for common factors is 18200.

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 = 223587000000/(1x18200)

LCM = 223587000000/18200

LCM = 12285000

Thus, we can understand that the LCM of 540,625,910,728 is 12285000.

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

• LCM of 640, 641, 648, 822
• LCM of 469, 242, 151, 486
• LCM of 944, 810, 650, 388
• LCM of 355, 798, 142, 694
• LCM of 555, 633, 716, 192

1. What is the LCM of 540, 625, 910, 728?

Answer: LCM of 540, 625, 910, 728 is 12285000.

2. How to calculate the LCM of 540, 625, 910, 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 540, 625, 910, 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}.