Given numbers are 488,272,176,457

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

The LCM of 488,272,176,457 is 83407984.

Find LCM of 488,272,176,457 with Prime Factorization

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

2 x 2 x 2 x 2 x 61 x 17 x 11 x 457 = 83407984

Therefore, the lowest common multiple of 488,272,176,457 is 83407984.

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.

488 x 272 x 176 x 457 = 10676221952

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,272,176,457, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

272:2x 2x 2x 2x 17

176:2x 2x 2x 2x 11

457:457

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 = 10676221952/(1x128)

LCM = 10676221952/128

LCM = 83407984

Thus, we can understand that the LCM of 488,272,176,457 is 83407984.

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

• LCM of 821, 291, 509, 443
• LCM of 185, 645, 924, 414
• LCM of 544, 810, 923, 593
• LCM of 975, 921, 932, 969
• LCM of 252, 684, 650, 212

1. What is the LCM of 488, 272, 176, 457?

Answer: LCM of 488, 272, 176, 457 is 83407984.

2. How to calculate the LCM of 488, 272, 176, 457?

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 488, 272, 176, 457.

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}.