Given numbers are 288,478,251,497

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

The LCM of 288,478,251,497 is 8586585504.

Find LCM of 288,478,251,497 with Prime Factorization

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

2 x 144 x 239 x 251 x 497 = 8586585504

Therefore, the lowest common multiple of 288,478,251,497 is 8586585504.

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.

288 x 478 x 251 x 497 = 17173171008

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

478 : 1, 2, 239, 478

251 : 1, 251

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,478,251,497, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

478:2x 239

251:251

497:7x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 17173171008/(1x2)

LCM = 17173171008/2

LCM = 8586585504

Thus, we can understand that the LCM of 288,478,251,497 is 8586585504.

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

• LCM of 508, 832, 213, 553
• LCM of 281, 521, 390, 936
• LCM of 242, 338, 744, 939
• LCM of 956, 769, 770, 676
• LCM of 909, 776, 888, 801

1. What is the LCM of 288, 478, 251, 497?

Answer: LCM of 288, 478, 251, 497 is 8586585504.

2. How to calculate the LCM of 288, 478, 251, 497?

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 288, 478, 251, 497.

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}.