Given numbers are 450,714,864,596

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

The LCM of 450,714,864,596 is 382989600.

Find LCM of 450,714,864,596 with Prime Factorization

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

2 x 2 x 3 x 3 x 25 x 119 x 24 x 149 = 382989600

Therefore, the lowest common multiple of 450,714,864,596 is 382989600.

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 714 x 864 x 596 = 165451507200

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

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,714,864,596, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

714:2x 3x 7x 17

864:2x 2x 2x 2x 2x 3x 3x 3

596:2x 2x 149

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 165451507200/(2x216)

LCM = 165451507200/432

LCM = 382989600

Thus, we can understand that the LCM of 450,714,864,596 is 382989600.

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

• LCM of 547, 757, 347, 392
• LCM of 468, 141, 377, 169
• LCM of 272, 249, 372, 437
• LCM of 179, 114, 488, 497
• LCM of 301, 203, 488, 938

1. What is the LCM of 450, 714, 864, 596?

Answer: LCM of 450, 714, 864, 596 is 382989600.

2. How to calculate the LCM of 450, 714, 864, 596?

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, 714, 864, 596.

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}.