Given numbers are 450,286,920,728,716

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

The LCM of 450,286,920,728,716 is 7418010600.

Find LCM of 450,286,920,728,716 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 45 x 11 x 23 x 7 x 179 = 7418010600

Therefore, the lowest common multiple of 450,286,920,728,716 is 7418010600.

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.

450 x 286 x 920 x 728 x 716 = 61717848192000

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

286 : 1, 2, 11, 13, 22, 26, 143, 286

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

716 : 1, 2, 4, 179, 358, 716

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,286,920,728,716, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

286:2x 11x 13

920:2x 2x 2x 5x 23

728:2x 2x 2x 7x 13

716:2x 2x 179

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 2x 5x 13 = 4160

Therefore, the value for common factors is 4160.

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 = 61717848192000/(2x4160)

LCM = 61717848192000/8320

LCM = 7418010600

Thus, we can understand that the LCM of 450,286,920,728,716 is 7418010600.

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

• LCM of 981, 938, 763, 208, 806
• LCM of 525, 219, 301, 982, 807
• LCM of 111, 232, 837, 556, 183
• LCM of 806, 156, 454, 681, 456
• LCM of 346, 412, 989, 968, 283

1. What is the LCM of 450, 286, 920, 728, 716?

Answer: LCM of 450, 286, 920, 728, 716 is 7418010600.

2. How to calculate the LCM of 450, 286, 920, 728, 716?

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 450, 286, 920, 728, 716.

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}.