Given numbers are 756,904,714,516,646

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

The LCM of 756,904,714,516,646 is 2373018984.

Find LCM of 756,904,714,516,646 with Prime Factorization

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

2 x 2 x 3 x 7 x 17 x 9 x 226 x 1 x 43 x 19 = 2373018984

Therefore, the lowest common multiple of 756,904,714,516,646 is 2373018984.

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.

756 x 904 x 714 x 516 x 646 = 162656213239296

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

904 : 1, 2, 4, 8, 113, 226, 452, 904

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,904,714,516,646, is 2.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

904:2x 2x 2x 113

714:2x 3x 7x 17

516:2x 2x 3x 43

646:2x 17x 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 2x 2x 3x 3x 7x 17 = 34272

Therefore, the value for common factors is 34272.

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 = 162656213239296/(2x34272)

LCM = 162656213239296/68544

LCM = 2373018984

Thus, we can understand that the LCM of 756,904,714,516,646 is 2373018984.

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

• LCM of 184, 385, 881, 724, 166
• LCM of 933, 895, 910, 355, 780
• LCM of 853, 219, 552, 975, 590
• LCM of 612, 458, 834, 648, 250
• LCM of 908, 757, 641, 781, 397

1. What is the LCM of 756, 904, 714, 516, 646?

Answer: LCM of 756, 904, 714, 516, 646 is 2373018984.

2. How to calculate the LCM of 756, 904, 714, 516, 646?

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 756, 904, 714, 516, 646.

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}.