Given numbers are 460,791,440,596,650

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

The LCM of 460,791,440,596,650 is 77527650200.

Find LCM of 460,791,440,596,650 with Prime Factorization

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

2 x 2 x 5 x 23 x 791 x 22 x 149 x 65 = 77527650200

Therefore, the lowest common multiple of 460,791,440,596,650 is 77527650200.

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.

460 x 791 x 440 x 596 x 650 = 62022120160000

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

791 : 1, 7, 113, 791

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

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

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,791,440,596,650, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

791:7x 113

440:2x 2x 2x 5x 11

596:2x 2x 149

650:2x 5x 5x 13

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 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 62022120160000/(1x800)

LCM = 62022120160000/800

LCM = 77527650200

Thus, we can understand that the LCM of 460,791,440,596,650 is 77527650200.

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

• LCM of 708, 551, 483, 287, 305
• LCM of 587, 865, 595, 649, 223
• LCM of 193, 636, 291, 788, 694
• LCM of 461, 932, 996, 691, 173
• LCM of 667, 133, 316, 731, 453

1. What is the LCM of 460, 791, 440, 596, 650?

Answer: LCM of 460, 791, 440, 596, 650 is 77527650200.

2. How to calculate the LCM of 460, 791, 440, 596, 650?

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 460, 791, 440, 596, 650.

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}.