Given numbers are 282,438,302,625,556

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

The LCM of 282,438,302,625,556 is 540099442500.

Find LCM of 282,438,302,625,556 with Prime Factorization

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

2 x 3 x 47 x 73 x 151 x 625 x 278 = 540099442500

Therefore, the lowest common multiple of 282,438,302,625,556 is 540099442500.

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 438 x 302 x 625 x 556 = 12962386620000

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

302 : 1, 2, 151, 302

625 : 1, 5, 25, 125, 625

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,438,302,625,556, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

438:2x 3x 73

302:2x 151

625:5x 5x 5x 5

556:2x 2x 139

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 3 = 24

Therefore, the value for common factors is 24.

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 = 12962386620000/(1x24)

LCM = 12962386620000/24

LCM = 540099442500

Thus, we can understand that the LCM of 282,438,302,625,556 is 540099442500.

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

• LCM of 173, 426, 110, 209, 130
• LCM of 864, 238, 385, 319, 302
• LCM of 839, 212, 228, 692, 723
• LCM of 718, 215, 814, 526, 219
• LCM of 702, 321, 583, 207, 454

1. What is the LCM of 282, 438, 302, 625, 556?

Answer: LCM of 282, 438, 302, 625, 556 is 540099442500.

2. How to calculate the LCM of 282, 438, 302, 625, 556?

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, 438, 302, 625, 556.

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}.