Given numbers are 631,130,468,728

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

The LCM of 631,130,468,728 is 20671560.

Find LCM of 631,130,468,728 with Prime Factorization

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

2 x 2 x 13 x 631 x 5 x 9 x 14 = 20671560

Therefore, the lowest common multiple of 631,130,468,728 is 20671560.

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.

631 x 130 x 468 x 728 = 27947949120

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.

631 : 1, 631

130 : 1, 2, 5, 10, 13, 26, 65, 130

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,130,468,728, is 1.

Now, the common factors can be found like this.

631:631

130:2x 5x 13

468:2x 2x 3x 3x 13

728:2x 2x 2x 7x 13

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 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 27947949120/(1x1352)

LCM = 27947949120/1352

LCM = 20671560

Thus, we can understand that the LCM of 631,130,468,728 is 20671560.

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

• LCM of 135, 733, 412, 840
• LCM of 915, 738, 169, 732
• LCM of 481, 574, 345, 144
• LCM of 949, 535, 301, 247
• LCM of 895, 342, 342, 574

1. What is the LCM of 631, 130, 468, 728?

Answer: LCM of 631, 130, 468, 728 is 20671560.

2. How to calculate the LCM of 631, 130, 468, 728?

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 631, 130, 468, 728.

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}.