Given numbers are 488,512,760,163,912

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

The LCM of 488,512,760,163,912 is 1450882560.

Find LCM of 488,512,760,163,912 with Prime Factorization

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

2 x 2 x 2 x 2 x 19 x 61 x 32 x 5 x 163 x 3 = 1450882560

Therefore, the lowest common multiple of 488,512,760,163,912 is 1450882560.

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 512 x 760 x 163 x 912 = 28228371087360

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

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

163 : 1, 163

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,512,760,163,912, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

512:2x 2x 2x 2x 2x 2x 2x 2x 2

760:2x 2x 2x 5x 19

163:163

912:2x 2x 2x 2x 3x 19

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 2x 2x 2x 2x 19 = 19456

Therefore, the value for common factors is 19456.

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 = 28228371087360/(1x19456)

LCM = 28228371087360/19456

LCM = 1450882560

Thus, we can understand that the LCM of 488,512,760,163,912 is 1450882560.

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

• LCM of 264, 475, 346, 212, 953
• LCM of 393, 387, 508, 907, 286
• LCM of 550, 988, 101, 282, 136
• LCM of 689, 232, 955, 385, 449
• LCM of 932, 173, 443, 257, 738

1. What is the LCM of 488, 512, 760, 163, 912?

Answer: LCM of 488, 512, 760, 163, 912 is 1450882560.

2. How to calculate the LCM of 488, 512, 760, 163, 912?

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, 512, 760, 163, 912.

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}.