Given numbers are 128,192,488,209,544

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

The LCM of 128,192,488,209,544 is 83225472.

Find LCM of 128,192,488,209,544 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 61 x 209 x 17 = 83225472

Therefore, the lowest common multiple of 128,192,488,209,544 is 83225472.

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.

128 x 192 x 488 x 209 x 544 = 1363566133248

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.

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

209 : 1, 11, 19, 209

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,192,488,209,544, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

192:2x 2x 2x 2x 2x 2x 3

488:2x 2x 2x 61

209:11x 19

544:2x 2x 2x 2x 2x 17

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 2x 2x 2x 2 = 16384

Therefore, the value for common factors is 16384.

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 = 1363566133248/(1x16384)

LCM = 1363566133248/16384

LCM = 83225472

Thus, we can understand that the LCM of 128,192,488,209,544 is 83225472.

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

• LCM of 295, 336, 761, 411, 913
• LCM of 757, 431, 381, 958, 640
• LCM of 750, 308, 925, 171, 717
• LCM of 117, 823, 558, 521, 760
• LCM of 966, 724, 462, 585, 441

1. What is the LCM of 128, 192, 488, 209, 544?

Answer: LCM of 128, 192, 488, 209, 544 is 83225472.

2. How to calculate the LCM of 128, 192, 488, 209, 544?

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 128, 192, 488, 209, 544.

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}.