Given numbers are 459,214,484,148

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

The LCM of 459,214,484,148 is 879515604.

Find LCM of 459,214,484,148 with Prime Factorization

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

2 x 2 x 459 x 107 x 121 x 37 = 879515604

Therefore, the lowest common multiple of 459,214,484,148 is 879515604.

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.

459 x 214 x 484 x 148 = 7036124832

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

214 : 1, 2, 107, 214

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,214,484,148, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

214:2x 107

484:2x 2x 11x 11

148:2x 2x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7036124832/(1x8)

LCM = 7036124832/8

LCM = 879515604

Thus, we can understand that the LCM of 459,214,484,148 is 879515604.

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

• LCM of 764, 535, 788, 958
• LCM of 553, 357, 228, 392
• LCM of 609, 297, 610, 577
• LCM of 126, 866, 874, 352
• LCM of 718, 577, 405, 139

1. What is the LCM of 459, 214, 484, 148?

Answer: LCM of 459, 214, 484, 148 is 879515604.

2. How to calculate the LCM of 459, 214, 484, 148?

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 459, 214, 484, 148.

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}.