Given numbers are 468,437,391,208,715

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

The LCM of 468,437,391,208,715 is 764889840.

Find LCM of 468,437,391,208,715 with Prime Factorization

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

2 x 2 x 13 x 23 x 9 x 19 x 17 x 4 x 55 = 764889840

Therefore, the lowest common multiple of 468,437,391,208,715 is 764889840.

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.

468 x 437 x 391 x 208 x 715 = 11892507232320

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

437 : 1, 19, 23, 437

391 : 1, 17, 23, 391

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,437,391,208,715, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

437:19x 23

391:17x 23

208:2x 2x 2x 2x 13

715:5x 11x 13

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 13x 13x 23 = 15548

Therefore, the value for common factors is 15548.

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 = 11892507232320/(1x15548)

LCM = 11892507232320/15548

LCM = 764889840

Thus, we can understand that the LCM of 468,437,391,208,715 is 764889840.

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

• LCM of 190, 988, 990, 308, 476
• LCM of 364, 397, 730, 476, 473
• LCM of 480, 902, 924, 796, 719
• LCM of 964, 716, 961, 255, 835
• LCM of 808, 172, 410, 641, 689

1. What is the LCM of 468, 437, 391, 208, 715?

Answer: LCM of 468, 437, 391, 208, 715 is 764889840.

2. How to calculate the LCM of 468, 437, 391, 208, 715?

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 468, 437, 391, 208, 715.

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}.