Given numbers are 786,811,596,336,138

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

The LCM of 786,811,596,336,138 is 122333536752.

Find LCM of 786,811,596,336,138 with Prime Factorization

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

2 x 2 x 3 x 131 x 811 x 149 x 28 x 23 = 122333536752

Therefore, the lowest common multiple of 786,811,596,336,138 is 122333536752.

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.

786 x 811 x 596 x 336 x 138 = 17616029292288

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

811 : 1, 811

596 : 1, 2, 4, 149, 298, 596

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 786,811,596,336,138, is 1.

Now, the common factors can be found like this.

786:2x 3x 131

811:811

596:2x 2x 149

336:2x 2x 2x 2x 3x 7

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 = 17616029292288/(1x144)

LCM = 17616029292288/144

LCM = 122333536752

Thus, we can understand that the LCM of 786,811,596,336,138 is 122333536752.

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

• LCM of 429, 948, 812, 519, 428
• LCM of 356, 388, 815, 615, 647
• LCM of 548, 795, 975, 664, 220
• LCM of 876, 200, 277, 643, 153
• LCM of 625, 633, 637, 655, 182

1. What is the LCM of 786, 811, 596, 336, 138?

Answer: LCM of 786, 811, 596, 336, 138 is 122333536752.

2. How to calculate the LCM of 786, 811, 596, 336, 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 786, 811, 596, 336, 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}.