Given numbers are 676,540,282,386,182

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

The LCM of 676,540,282,386,182 is 5794736220.

Find LCM of 676,540,282,386,182 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 45 x 47 x 193 x 7 = 5794736220

Therefore, the lowest common multiple of 676,540,282,386,182 is 5794736220.

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.

676 x 540 x 282 x 386 x 182 = 7231830802560

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

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

386 : 1, 2, 193, 386

182 : 1, 2, 7, 13, 14, 26, 91, 182

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,540,282,386,182, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

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

282:2x 3x 47

386:2x 193

182:2x 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 2x 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 7231830802560/(2x624)

LCM = 7231830802560/1248

LCM = 5794736220

Thus, we can understand that the LCM of 676,540,282,386,182 is 5794736220.

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

• LCM of 474, 416, 577, 458, 338
• LCM of 332, 313, 988, 448, 827
• LCM of 819, 317, 702, 844, 173
• LCM of 187, 827, 857, 228, 403
• LCM of 580, 377, 730, 233, 248

1. What is the LCM of 676, 540, 282, 386, 182?

Answer: LCM of 676, 540, 282, 386, 182 is 5794736220.

2. How to calculate the LCM of 676, 540, 282, 386, 182?

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 676, 540, 282, 386, 182.

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}.