Given numbers are 728,481,457,169,279

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

The LCM of 728,481,457,169,279 is 44647470504.

Find LCM of 728,481,457,169,279 with Prime Factorization

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

13 x 56 x 37 x 457 x 13 x 279 = 44647470504

Therefore, the lowest common multiple of 728,481,457,169,279 is 44647470504.

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 481 x 457 x 169 x 279 = 7545422515176

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

481 : 1, 13, 37, 481

457 : 1, 457

169 : 1, 13, 169

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,481,457,169,279, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

481:13x 37

457:457

169:13x 13

279:3x 3x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 7545422515176/(1x169)

LCM = 7545422515176/169

LCM = 44647470504

Thus, we can understand that the LCM of 728,481,457,169,279 is 44647470504.

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

• LCM of 654, 742, 303, 340, 719
• LCM of 116, 909, 343, 576, 564
• LCM of 890, 399, 603, 537, 439
• LCM of 565, 749, 888, 526, 929
• LCM of 895, 933, 306, 237, 411

1. What is the LCM of 728, 481, 457, 169, 279?

Answer: LCM of 728, 481, 457, 169, 279 is 44647470504.

2. How to calculate the LCM of 728, 481, 457, 169, 279?

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, 481, 457, 169, 279.

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}.