Given numbers are 752,736,310,792

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

The LCM of 752,736,310,792 is 530814240.

Find LCM of 752,736,310,792 with Prime Factorization

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

2 x 2 x 2 x 2 x 47 x 46 x 155 x 99 = 530814240

Therefore, the lowest common multiple of 752,736,310,792 is 530814240.

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.

752 x 736 x 310 x 792 = 135888445440

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.

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

310 : 1, 2, 5, 10, 31, 62, 155, 310

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,736,310,792, is 2.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

736:2x 2x 2x 2x 2x 23

310:2x 5x 31

792:2x 2x 2x 3x 3x 11

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 135888445440/(2x128)

LCM = 135888445440/256

LCM = 530814240

Thus, we can understand that the LCM of 752,736,310,792 is 530814240.

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

• LCM of 522, 171, 311, 396
• LCM of 442, 112, 734, 414
• LCM of 934, 572, 938, 803
• LCM of 122, 907, 362, 426
• LCM of 308, 760, 864, 116

1. What is the LCM of 752, 736, 310, 792?

Answer: LCM of 752, 736, 310, 792 is 530814240.

2. How to calculate the LCM of 752, 736, 310, 792?

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 752, 736, 310, 792.

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}.