Given numbers are 728,311,615,644,504

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

The LCM of 728,311,615,644,504 is 9607623480.

Find LCM of 728,311,615,644,504 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 311 x 205 x 23 x 3 = 9607623480

Therefore, the lowest common multiple of 728,311,615,644,504 is 9607623480.

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 311 x 615 x 644 x 504 = 45194260849920

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

311 : 1, 311

615 : 1, 3, 5, 15, 41, 123, 205, 615

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,311,615,644,504, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

311:311

615:3x 5x 41

644:2x 2x 7x 23

504:2x 2x 2x 3x 3x 7

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 7x 7 = 4704

Therefore, the value for common factors is 4704.

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 = 45194260849920/(1x4704)

LCM = 45194260849920/4704

LCM = 9607623480

Thus, we can understand that the LCM of 728,311,615,644,504 is 9607623480.

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

• LCM of 328, 553, 745, 956, 672
• LCM of 721, 423, 996, 960, 287
• LCM of 182, 412, 591, 788, 381
• LCM of 894, 287, 898, 464, 999
• LCM of 938, 933, 125, 473, 786

1. What is the LCM of 728, 311, 615, 644, 504?

Answer: LCM of 728, 311, 615, 644, 504 is 9607623480.

2. How to calculate the LCM of 728, 311, 615, 644, 504?

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, 311, 615, 644, 504.

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}.