Given numbers are 759,121,993,880,684

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

The LCM of 759,121,993,880,684 is 12601646640.

Find LCM of 759,121,993,880,684 with Prime Factorization

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

2 x 2 x 3 x 11 x 23 x 11 x 331 x 20 x 57 = 12601646640

Therefore, the lowest common multiple of 759,121,993,880,684 is 12601646640.

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.

759 x 121 x 993 x 880 x 684 = 54892772763840

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

121 : 1, 11, 121

993 : 1, 3, 331, 993

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,121,993,880,684, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

121:11x 11

993:3x 331

880:2x 2x 2x 2x 5x 11

684:2x 2x 3x 3x 19

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 11x 11 = 4356

Therefore, the value for common factors is 4356.

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 = 54892772763840/(1x4356)

LCM = 54892772763840/4356

LCM = 12601646640

Thus, we can understand that the LCM of 759,121,993,880,684 is 12601646640.

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

• LCM of 638, 600, 790, 447, 242
• LCM of 499, 375, 875, 831, 949
• LCM of 995, 633, 540, 376, 308
• LCM of 746, 351, 609, 161, 442
• LCM of 567, 462, 480, 676, 945

1. What is the LCM of 759, 121, 993, 880, 684?

Answer: LCM of 759, 121, 993, 880, 684 is 12601646640.

2. How to calculate the LCM of 759, 121, 993, 880, 684?

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 759, 121, 993, 880, 684.

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}.