Given numbers are 728,702,966,825,437

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

The LCM of 728,702,966,825,437 is 2362159800.

Find LCM of 728,702,966,825,437 with Prime Factorization

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

2 x 3 x 7 x 13 x 23 x 4 x 9 x 1 x 275 x 19 = 2362159800

Therefore, the lowest common multiple of 728,702,966,825,437 is 2362159800.

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.

728 x 702 x 966 x 825 x 437 = 177984016610400

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,702,966,825,437, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

702:2x 3x 3x 3x 13

966:2x 3x 7x 23

825:3x 5x 5x 11

437:19x 23

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 7x 13x 23 = 75348

Therefore, the value for common factors is 75348.

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 = 177984016610400/(1x75348)

LCM = 177984016610400/75348

LCM = 2362159800

Thus, we can understand that the LCM of 728,702,966,825,437 is 2362159800.

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

• LCM of 958, 649, 435, 846, 500
• LCM of 577, 753, 319, 252, 533
• LCM of 554, 218, 587, 263, 902
• LCM of 421, 320, 606, 474, 625
• LCM of 449, 155, 270, 356, 801

1. What is the LCM of 728, 702, 966, 825, 437?

Answer: LCM of 728, 702, 966, 825, 437 is 2362159800.

2. How to calculate the LCM of 728, 702, 966, 825, 437?

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 728, 702, 966, 825, 437.

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}.