Given numbers are 728,834,804,509,138

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

The LCM of 728,834,804,509,138 is 238115603544.

Find LCM of 728,834,804,509,138 with Prime Factorization

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

2 x 2 x 3 x 182 x 139 x 67 x 509 x 23 = 238115603544

Therefore, the lowest common multiple of 728,834,804,509,138 is 238115603544.

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.

728 x 834 x 804 x 509 x 138 = 34288646910336

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

834 : 1, 2, 3, 6, 139, 278, 417, 834

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

509 : 1, 509

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,834,804,509,138, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

834:2x 3x 139

804:2x 2x 3x 67

509:509

138:2x 3x 23

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 34288646910336/(1x144)

LCM = 34288646910336/144

LCM = 238115603544

Thus, we can understand that the LCM of 728,834,804,509,138 is 238115603544.

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

• LCM of 442, 400, 817, 786, 468
• LCM of 867, 668, 489, 824, 830
• LCM of 164, 456, 738, 914, 914
• LCM of 782, 236, 522, 661, 876
• LCM of 309, 128, 355, 475, 380

1. What is the LCM of 728, 834, 804, 509, 138?

Answer: LCM of 728, 834, 804, 509, 138 is 238115603544.

2. How to calculate the LCM of 728, 834, 804, 509, 138?

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 728, 834, 804, 509, 138.

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}.