Given numbers are 208,523,377,648,493

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

The LCM of 208,523,377,648,493 is 4344071472.

Find LCM of 208,523,377,648,493 with Prime Factorization

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

2 x 2 x 2 x 13 x 29 x 2 x 523 x 1 x 81 x 17 = 4344071472

Therefore, the lowest common multiple of 208,523,377,648,493 is 4344071472.

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.

208 x 523 x 377 x 648 x 493 = 13101719559552

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

523 : 1, 523

377 : 1, 13, 29, 377

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,523,377,648,493, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

523:523

377:13x 29

648:2x 2x 2x 3x 3x 3x 3

493:17x 29

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 13x 29 = 3016

Therefore, the value for common factors is 3016.

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 = 13101719559552/(1x3016)

LCM = 13101719559552/3016

LCM = 4344071472

Thus, we can understand that the LCM of 208,523,377,648,493 is 4344071472.

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

• LCM of 526, 124, 530, 258, 166
• LCM of 167, 885, 950, 848, 191
• LCM of 307, 774, 401, 474, 148
• LCM of 772, 780, 761, 885, 263
• LCM of 205, 285, 478, 924, 506

1. What is the LCM of 208, 523, 377, 648, 493?

Answer: LCM of 208, 523, 377, 648, 493 is 4344071472.

2. How to calculate the LCM of 208, 523, 377, 648, 493?

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 208, 523, 377, 648, 493.

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}.