Given numbers are 684,320,535,974,497

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

The LCM of 684,320,535,974,497 is 1417148026560.

Find LCM of 684,320,535,974,497 with Prime Factorization

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

2 x 2 x 5 x 171 x 16 x 107 x 487 x 497 = 1417148026560

Therefore, the lowest common multiple of 684,320,535,974,497 is 1417148026560.

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 320 x 535 x 974 x 497 = 56685921062400

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

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

535 : 1, 5, 107, 535

974 : 1, 2, 487, 974

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,320,535,974,497, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

320:2x 2x 2x 2x 2x 2x 5

535:5x 107

974:2x 487

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.

2x 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 56685921062400/(1x40)

LCM = 56685921062400/40

LCM = 1417148026560

Thus, we can understand that the LCM of 684,320,535,974,497 is 1417148026560.

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

• LCM of 239, 856, 729, 171, 972
• LCM of 837, 532, 331, 322, 679
• LCM of 817, 846, 577, 875, 441
• LCM of 464, 543, 760, 953, 326
• LCM of 906, 250, 257, 216, 124

1. What is the LCM of 684, 320, 535, 974, 497?

Answer: LCM of 684, 320, 535, 974, 497 is 1417148026560.

2. How to calculate the LCM of 684, 320, 535, 974, 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 684, 320, 535, 974, 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}.