Given numbers are 727,473,288,728

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

The LCM of 727,473,288,728 is 9012171168.

Find LCM of 727,473,288,728 with Prime Factorization

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

2 x 2 x 2 x 727 x 473 x 36 x 91 = 9012171168

Therefore, the lowest common multiple of 727,473,288,728 is 9012171168.

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.

727 x 473 x 288 x 728 = 72097369344

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.

727 : 1, 727

473 : 1, 11, 43, 473

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 727,473,288,728, is 1.

Now, the common factors can be found like this.

727:727

473:11x 43

288:2x 2x 2x 2x 2x 3x 3

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 2 = 8

Therefore, the value for common factors is 8.

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 = 72097369344/(1x8)

LCM = 72097369344/8

LCM = 9012171168

Thus, we can understand that the LCM of 727,473,288,728 is 9012171168.

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

• LCM of 623, 657, 795, 279
• LCM of 564, 976, 136, 506
• LCM of 974, 239, 669, 802
• LCM of 658, 273, 442, 616
• LCM of 749, 527, 488, 251

1. What is the LCM of 727, 473, 288, 728?

Answer: LCM of 727, 473, 288, 728 is 9012171168.

2. How to calculate the LCM of 727, 473, 288, 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 727, 473, 288, 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}.