Given numbers are 684,939,903,753,688

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

The LCM of 684,939,903,753,688 is 64699458768.

Find LCM of 684,939,903,753,688 with Prime Factorization

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

2 x 2 x 3 x 43 x 57 x 313 x 7 x 251 x 4 = 64699458768

Therefore, the lowest common multiple of 684,939,903,753,688 is 64699458768.

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 939 x 903 x 753 x 688 = 300464286518592

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

939 : 1, 3, 313, 939

903 : 1, 3, 7, 21, 43, 129, 301, 903

753 : 1, 3, 251, 753

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,939,903,753,688, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

939:3x 313

903:3x 7x 43

753:3x 251

688:2x 2x 2x 2x 43

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 3x 3x 3x 43 = 4644

Therefore, the value for common factors is 4644.

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 = 300464286518592/(1x4644)

LCM = 300464286518592/4644

LCM = 64699458768

Thus, we can understand that the LCM of 684,939,903,753,688 is 64699458768.

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

• LCM of 230, 127, 355, 389, 277
• LCM of 383, 538, 358, 309, 808
• LCM of 723, 833, 607, 753, 274
• LCM of 615, 666, 867, 442, 509
• LCM of 279, 523, 749, 805, 471

1. What is the LCM of 684, 939, 903, 753, 688?

Answer: LCM of 684, 939, 903, 753, 688 is 64699458768.

2. How to calculate the LCM of 684, 939, 903, 753, 688?

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, 939, 903, 753, 688.

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}.