Given numbers are 516,850,450,690,550

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

The LCM of 516,850,450,690,550 is 166448700.

Find LCM of 516,850,450,690,550 with Prime Factorization

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

2 x 3 x 5 x 5 x 86 x 17 x 3 x 23 x 11 = 166448700

Therefore, the lowest common multiple of 516,850,450,690,550 is 166448700.

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 850 x 450 x 690 x 550 = 74901915000000

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

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,850,450,690,550, is 2.

Now, the common factors can be found like this.

516:2x 2x 3x 43

850:2x 5x 5x 17

450:2x 3x 3x 5x 5

690:2x 3x 5x 23

550:2x 5x 5x 11

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 5x 5x 5x 5x 5 = 225000

Therefore, the value for common factors is 225000.

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 = 74901915000000/(2x225000)

LCM = 74901915000000/450000

LCM = 166448700

Thus, we can understand that the LCM of 516,850,450,690,550 is 166448700.

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

• LCM of 208, 504, 539, 631, 297
• LCM of 790, 326, 376, 144, 475
• LCM of 834, 404, 818, 573, 203
• LCM of 431, 504, 289, 559, 887
• LCM of 151, 334, 796, 382, 528

1. What is the LCM of 516, 850, 450, 690, 550?

Answer: LCM of 516, 850, 450, 690, 550 is 166448700.

2. How to calculate the LCM of 516, 850, 450, 690, 550?

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, 850, 450, 690, 550.

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}.