Given numbers are 130,746,474,728,774

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

The LCM of 130,746,474,728,774 is 41509573560.

Find LCM of 130,746,474,728,774 with Prime Factorization

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

2 x 3 x 13 x 5 x 373 x 79 x 28 x 129 = 41509573560

Therefore, the lowest common multiple of 130,746,474,728,774 is 41509573560.

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.

130 x 746 x 474 x 728 x 774 = 25901973901440

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

746 : 1, 2, 373, 746

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,746,474,728,774, is 2.

Now, the common factors can be found like this.

130:2x 5x 13

746:2x 373

474:2x 3x 79

728:2x 2x 2x 7x 13

774:2x 3x 3x 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 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 25901973901440/(2x312)

LCM = 25901973901440/624

LCM = 41509573560

Thus, we can understand that the LCM of 130,746,474,728,774 is 41509573560.

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

• LCM of 249, 671, 543, 444, 476
• LCM of 432, 790, 910, 469, 173
• LCM of 338, 891, 676, 139, 523
• LCM of 214, 712, 520, 223, 631
• LCM of 120, 200, 621, 189, 751

1. What is the LCM of 130, 746, 474, 728, 774?

Answer: LCM of 130, 746, 474, 728, 774 is 41509573560.

2. How to calculate the LCM of 130, 746, 474, 728, 774?

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 130, 746, 474, 728, 774.

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}.