Given numbers are 416,219,636,660,682

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

The LCM of 416,219,636,660,682 is 8232612960.

Find LCM of 416,219,636,660,682 with Prime Factorization

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

2 x 2 x 3 x 11 x 104 x 73 x 53 x 5 x 31 = 8232612960

Therefore, the lowest common multiple of 416,219,636,660,682 is 8232612960.

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.

416 x 219 x 636 x 660 x 682 = 26080917857280

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.

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

219 : 1, 3, 73, 219

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,219,636,660,682, is 1.

Now, the common factors can be found like this.

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

219:3x 73

636:2x 2x 3x 53

660:2x 2x 3x 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 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

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 = 26080917857280/(1x3168)

LCM = 26080917857280/3168

LCM = 8232612960

Thus, we can understand that the LCM of 416,219,636,660,682 is 8232612960.

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

• LCM of 213, 647, 507, 301, 237
• LCM of 209, 197, 804, 930, 852
• LCM of 580, 394, 935, 976, 990
• LCM of 645, 614, 421, 953, 960
• LCM of 118, 314, 883, 269, 600

1. What is the LCM of 416, 219, 636, 660, 682?

Answer: LCM of 416, 219, 636, 660, 682 is 8232612960.

2. How to calculate the LCM of 416, 219, 636, 660, 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 416, 219, 636, 660, 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}.