Given numbers are 628,135,468,792

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

The LCM of 628,135,468,792 is 24247080.

Find LCM of 628,135,468,792 with Prime Factorization

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

2 x 2 x 3 x 3 x 157 x 15 x 13 x 22 = 24247080

Therefore, the lowest common multiple of 628,135,468,792 is 24247080.

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.

628 x 135 x 468 x 792 = 31424215680

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.

628 : 1, 2, 4, 157, 314, 628

135 : 1, 3, 5, 9, 15, 27, 45, 135

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,135,468,792, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

135:3x 3x 3x 5

468:2x 2x 3x 3x 13

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 31424215680/(1x1296)

LCM = 31424215680/1296

LCM = 24247080

Thus, we can understand that the LCM of 628,135,468,792 is 24247080.

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

• LCM of 877, 406, 606, 556
• LCM of 549, 390, 561, 659
• LCM of 180, 224, 674, 859
• LCM of 177, 250, 426, 830
• LCM of 169, 928, 338, 939

1. What is the LCM of 628, 135, 468, 792?

Answer: LCM of 628, 135, 468, 792 is 24247080.

2. How to calculate the LCM of 628, 135, 468, 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 628, 135, 468, 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}.