Given numbers are 416,700,214,573,722

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

The LCM of 416,700,214,573,722 is 1611302128800.

Find LCM of 416,700,214,573,722 with Prime Factorization

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

2 x 2 x 104 x 175 x 107 x 573 x 361 = 1611302128800

Therefore, the lowest common multiple of 416,700,214,573,722 is 1611302128800.

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 700 x 214 x 573 x 722 = 25780834060800

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

214 : 1, 2, 107, 214

573 : 1, 3, 191, 573

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,700,214,573,722, is 1.

Now, the common factors can be found like this.

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

700:2x 2x 5x 5x 7

214:2x 107

573:3x 191

722:2x 19x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 25780834060800/(1x16)

LCM = 25780834060800/16

LCM = 1611302128800

Thus, we can understand that the LCM of 416,700,214,573,722 is 1611302128800.

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

• LCM of 733, 874, 188, 287, 250
• LCM of 312, 924, 803, 925, 892
• LCM of 287, 232, 516, 589, 299
• LCM of 692, 567, 155, 733, 526
• LCM of 640, 462, 563, 816, 207

1. What is the LCM of 416, 700, 214, 573, 722?

Answer: LCM of 416, 700, 214, 573, 722 is 1611302128800.

2. How to calculate the LCM of 416, 700, 214, 573, 722?

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, 700, 214, 573, 722.

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}.