Given numbers are 516,395,750,494,738

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

The LCM of 516,395,750,494,738 is 154806385500.

Find LCM of 516,395,750,494,738 with Prime Factorization

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

2 x 3 x 5 x 86 x 79 x 25 x 247 x 123 = 154806385500

Therefore, the lowest common multiple of 516,395,750,494,738 is 154806385500.

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.

516 x 395 x 750 x 494 x 738 = 55730298780000

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

395 : 1, 5, 79, 395

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

494 : 1, 2, 13, 19, 26, 38, 247, 494

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,395,750,494,738, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

395:5x 79

750:2x 3x 5x 5x 5

494:2x 13x 19

738:2x 3x 3x 41

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 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 55730298780000/(1x360)

LCM = 55730298780000/360

LCM = 154806385500

Thus, we can understand that the LCM of 516,395,750,494,738 is 154806385500.

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

• LCM of 820, 420, 671, 893, 692
• LCM of 450, 167, 296, 509, 419
• LCM of 901, 572, 335, 455, 154
• LCM of 366, 599, 280, 879, 148
• LCM of 883, 288, 702, 505, 656

1. What is the LCM of 516, 395, 750, 494, 738?

Answer: LCM of 516, 395, 750, 494, 738 is 154806385500.

2. How to calculate the LCM of 516, 395, 750, 494, 738?

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 516, 395, 750, 494, 738.

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}.