Given numbers are 221,391,383,510,469

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

The LCM of 221,391,383,510,469 is 27391321230.

Find LCM of 221,391,383,510,469 with Prime Factorization

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

17 x 13 x 23 x 383 x 30 x 469 = 27391321230

Therefore, the lowest common multiple of 221,391,383,510,469 is 27391321230.

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.

221 x 391 x 383 x 510 x 469 = 7916091835470

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.

221 : 1, 13, 17, 221

391 : 1, 17, 23, 391

383 : 1, 383

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,391,383,510,469, is 1.

Now, the common factors can be found like this.

221:13x 17

391:17x 23

383:383

510:2x 3x 5x 17

469:7x 67

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 7916091835470/(1x289)

LCM = 7916091835470/289

LCM = 27391321230

Thus, we can understand that the LCM of 221,391,383,510,469 is 27391321230.

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

• LCM of 637, 879, 816, 553, 744
• LCM of 938, 909, 922, 147, 960
• LCM of 737, 335, 229, 636, 617
• LCM of 632, 514, 541, 749, 553
• LCM of 339, 291, 253, 893, 571

1. What is the LCM of 221, 391, 383, 510, 469?

Answer: LCM of 221, 391, 383, 510, 469 is 27391321230.

2. How to calculate the LCM of 221, 391, 383, 510, 469?

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 221, 391, 383, 510, 469.

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}.