Given numbers are 786,435,272,680,149

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

The LCM of 786,435,272,680,149 is 2309488080.

Find LCM of 786,435,272,680,149 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 17 x 131 x 29 x 2 x 1 x 149 = 2309488080

Therefore, the lowest common multiple of 786,435,272,680,149 is 2309488080.

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 435 x 272 x 680 x 149 = 9422711366400

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

435 : 1, 3, 5, 15, 29, 87, 145, 435

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,435,272,680,149, is 1.

Now, the common factors can be found like this.

786:2x 3x 131

435:3x 5x 29

272:2x 2x 2x 2x 17

680:2x 2x 2x 5x 17

149:149

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 5x 17 = 4080

Therefore, the value for common factors is 4080.

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 = 9422711366400/(1x4080)

LCM = 9422711366400/4080

LCM = 2309488080

Thus, we can understand that the LCM of 786,435,272,680,149 is 2309488080.

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

• LCM of 205, 414, 980, 245, 141
• LCM of 104, 396, 164, 749, 127
• LCM of 482, 839, 521, 601, 751
• LCM of 515, 792, 708, 135, 108
• LCM of 785, 441, 155, 343, 779

1. What is the LCM of 786, 435, 272, 680, 149?

Answer: LCM of 786, 435, 272, 680, 149 is 2309488080.

2. How to calculate the LCM of 786, 435, 272, 680, 149?

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, 435, 272, 680, 149.

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}.