Given numbers are 416,306,345,543,798

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

The LCM of 416,306,345,543,798 is 176202804960.

Find LCM of 416,306,345,543,798 with Prime Factorization

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

2 x 3 x 208 x 51 x 115 x 181 x 133 = 176202804960

Therefore, the lowest common multiple of 416,306,345,543,798 is 176202804960.

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 306 x 345 x 543 x 798 = 19029902935680

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

345 : 1, 3, 5, 15, 23, 69, 115, 345

543 : 1, 3, 181, 543

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,306,345,543,798, is 1.

Now, the common factors can be found like this.

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

306:2x 3x 3x 17

345:3x 5x 23

543:3x 181

798:2x 3x 7x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 19029902935680/(1x108)

LCM = 19029902935680/108

LCM = 176202804960

Thus, we can understand that the LCM of 416,306,345,543,798 is 176202804960.

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

• LCM of 477, 966, 163, 287, 250
• LCM of 650, 933, 688, 868, 736
• LCM of 231, 372, 389, 604, 731
• LCM of 778, 196, 679, 668, 778
• LCM of 144, 298, 992, 348, 121

1. What is the LCM of 416, 306, 345, 543, 798?

Answer: LCM of 416, 306, 345, 543, 798 is 176202804960.

2. How to calculate the LCM of 416, 306, 345, 543, 798?

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, 306, 345, 543, 798.

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}.