Given numbers are 684,272,424,496

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

The LCM of 684,272,424,496 is 76419216.

Find LCM of 684,272,424,496 with Prime Factorization

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

2 x 2 x 2 x 2 x 171 x 17 x 53 x 31 = 76419216

Therefore, the lowest common multiple of 684,272,424,496 is 76419216.

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.

684 x 272 x 424 x 496 = 39126638592

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,272,424,496, is 4.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

272:2x 2x 2x 2x 17

424:2x 2x 2x 53

496:2x 2x 2x 2x 31

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 2 = 128

Therefore, the value for common factors is 128.

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 = 39126638592/(4x128)

LCM = 39126638592/512

LCM = 76419216

Thus, we can understand that the LCM of 684,272,424,496 is 76419216.

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

• LCM of 966, 739, 462, 308
• LCM of 862, 903, 121, 873
• LCM of 269, 658, 961, 828
• LCM of 878, 329, 437, 285
• LCM of 254, 802, 253, 675

1. What is the LCM of 684, 272, 424, 496?

Answer: LCM of 684, 272, 424, 496 is 76419216.

2. How to calculate the LCM of 684, 272, 424, 496?

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 684, 272, 424, 496.

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}.