Given numbers are 493,440,740,208,506

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

The LCM of 493,440,740,208,506 is 4799571920.

Find LCM of 493,440,740,208,506 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 493 x 1 x 37 x 26 x 23 = 4799571920

Therefore, the lowest common multiple of 493,440,740,208,506 is 4799571920.

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.

493 x 440 x 740 x 208 x 506 = 16894493158400

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.

493 : 1, 17, 29, 493

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,440,740,208,506, is 1.

Now, the common factors can be found like this.

493:17x 29

440:2x 2x 2x 5x 11

740:2x 2x 5x 37

208:2x 2x 2x 2x 13

506:2x 11x 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 2x 2x 5x 11 = 3520

Therefore, the value for common factors is 3520.

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 = 16894493158400/(1x3520)

LCM = 16894493158400/3520

LCM = 4799571920

Thus, we can understand that the LCM of 493,440,740,208,506 is 4799571920.

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

• LCM of 827, 872, 730, 619, 547
• LCM of 863, 625, 145, 680, 709
• LCM of 681, 209, 176, 272, 147
• LCM of 519, 460, 714, 845, 536
• LCM of 231, 672, 628, 408, 809

1. What is the LCM of 493, 440, 740, 208, 506?

Answer: LCM of 493, 440, 740, 208, 506 is 4799571920.

2. How to calculate the LCM of 493, 440, 740, 208, 506?

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 493, 440, 740, 208, 506.

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}.