Given numbers are 460,765,936,752

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

The LCM of 460,765,936,752 is 172008720.

Find LCM of 460,765,936,752 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 23 x 17 x 13 x 94 = 172008720

Therefore, the lowest common multiple of 460,765,936,752 is 172008720.

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.

460 x 765 x 936 x 752 = 247692556800

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,765,936,752, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

765:3x 3x 5x 17

936:2x 2x 2x 3x 3x 13

752:2x 2x 2x 2x 47

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 5 = 1440

Therefore, the value for common factors is 1440.

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 = 247692556800/(1x1440)

LCM = 247692556800/1440

LCM = 172008720

Thus, we can understand that the LCM of 460,765,936,752 is 172008720.

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

• LCM of 313, 112, 221, 582
• LCM of 759, 729, 319, 318
• LCM of 561, 308, 687, 764
• LCM of 670, 362, 259, 277
• LCM of 646, 738, 226, 682

1. What is the LCM of 460, 765, 936, 752?

Answer: LCM of 460, 765, 936, 752 is 172008720.

2. How to calculate the LCM of 460, 765, 936, 752?

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 460, 765, 936, 752.

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}.