Given numbers are 714,266,106,366,416

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

The LCM of 714,266,106,366,416 is 9122646624.

Find LCM of 714,266,106,366,416 with Prime Factorization

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

2 x 3 x 7 x 17 x 19 x 53 x 61 x 208 = 9122646624

Therefore, the lowest common multiple of 714,266,106,366,416 is 9122646624.

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.

714 x 266 x 106 x 366 x 416 = 3065209265664

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.

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

106 : 1, 2, 53, 106

366 : 1, 2, 3, 6, 61, 122, 183, 366

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,266,106,366,416, is 2.

Now, the common factors can be found like this.

714:2x 3x 7x 17

266:2x 7x 19

106:2x 53

366:2x 3x 61

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

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 7 = 168

Therefore, the value for common factors is 168.

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 = 3065209265664/(2x168)

LCM = 3065209265664/336

LCM = 9122646624

Thus, we can understand that the LCM of 714,266,106,366,416 is 9122646624.

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

• LCM of 624, 297, 668, 811, 152
• LCM of 664, 663, 213, 467, 329
• LCM of 666, 210, 188, 531, 697
• LCM of 417, 512, 412, 327, 580
• LCM of 188, 439, 385, 776, 494

1. What is the LCM of 714, 266, 106, 366, 416?

Answer: LCM of 714, 266, 106, 366, 416 is 9122646624.

2. How to calculate the LCM of 714, 266, 106, 366, 416?

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 714, 266, 106, 366, 416.

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}.