Given numbers are 684,813,714,408

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

The LCM of 684,813,714,408 is 44116632.

Find LCM of 684,813,714,408 with Prime Factorization

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

2 x 2 x 3 x 17 x 57 x 271 x 7 x 2 = 44116632

Therefore, the lowest common multiple of 684,813,714,408 is 44116632.

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 813 x 714 x 408 = 161996272704

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

813 : 1, 3, 271, 813

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,813,714,408, is 3.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

813:3x 271

714:2x 3x 7x 17

408:2x 2x 2x 3x 17

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 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 161996272704/(3x1224)

LCM = 161996272704/3672

LCM = 44116632

Thus, we can understand that the LCM of 684,813,714,408 is 44116632.

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

• LCM of 555, 123, 902, 989
• LCM of 196, 812, 463, 396
• LCM of 901, 468, 166, 125
• LCM of 426, 569, 222, 481
• LCM of 113, 468, 333, 433

1. What is the LCM of 684, 813, 714, 408?

Answer: LCM of 684, 813, 714, 408 is 44116632.

2. How to calculate the LCM of 684, 813, 714, 408?

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, 813, 714, 408.

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}.