Given numbers are 270,982,416,440,682

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

The LCM of 270,982,416,440,682 is 9402924960.

Find LCM of 270,982,416,440,682 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 27 x 491 x 52 x 1 x 31 = 9402924960

Therefore, the lowest common multiple of 270,982,416,440,682 is 9402924960.

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.

270 x 982 x 416 x 440 x 682 = 33098295859200

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

982 : 1, 2, 491, 982

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

682 : 1, 2, 11, 22, 31, 62, 341, 682

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,982,416,440,682, is 2.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

982:2x 491

416:2x 2x 2x 2x 2x 13

440:2x 2x 2x 5x 11

682:2x 11x 31

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 2x 5x 11 = 1760

Therefore, the value for common factors is 1760.

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 = 33098295859200/(2x1760)

LCM = 33098295859200/3520

LCM = 9402924960

Thus, we can understand that the LCM of 270,982,416,440,682 is 9402924960.

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

• LCM of 524, 406, 314, 593, 343
• LCM of 206, 277, 152, 422, 879
• LCM of 593, 758, 363, 776, 670
• LCM of 805, 174, 146, 789, 892
• LCM of 695, 668, 669, 775, 374

1. What is the LCM of 270, 982, 416, 440, 682?

Answer: LCM of 270, 982, 416, 440, 682 is 9402924960.

2. How to calculate the LCM of 270, 982, 416, 440, 682?

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 270, 982, 416, 440, 682.

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}.