Given numbers are 282,727,728

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

The LCM of 282,727,728 is 74625096.

Find LCM of 282,727,728 with Prime Factorization

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

2 x 141 x 727 x 364 = 74625096

Therefore, the lowest common multiple of 282,727,728 is 74625096.

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.

282 x 727 x 728 = 149250192

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

727 : 1, 727

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 282,727,728, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

727:727

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 149250192/(1x2)

LCM = 149250192/2

LCM = 74625096

Thus, we can understand that the LCM of 282,727,728 is 74625096.

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

• LCM of 679, 588, 603
• LCM of 641, 276, 962
• LCM of 658, 613, 956
• LCM of 135, 464, 565
• LCM of 417, 883, 833

1. What is the LCM of 282, 727, 728?

Answer: LCM of 282, 727, 728 is 74625096.

2. How to calculate the LCM of 282, 727, 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 282, 727, 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}.