Given numbers are 450,290,610,820,842

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

The LCM of 450,290,610,820,842 is 27481238100.

Find LCM of 450,290,610,820,842 with Prime Factorization

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

2 x 5 x 45 x 29 x 61 x 82 x 421 = 27481238100

Therefore, the lowest common multiple of 450,290,610,820,842 is 27481238100.

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.

450 x 290 x 610 x 820 x 842 = 54962476200000

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.

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

610 : 1, 2, 5, 10, 61, 122, 305, 610

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

842 : 1, 2, 421, 842

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,290,610,820,842, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

290:2x 5x 29

610:2x 5x 61

820:2x 2x 5x 41

842:2x 421

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 5x 5x 5 = 1000

Therefore, the value for common factors is 1000.

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 = 54962476200000/(2x1000)

LCM = 54962476200000/2000

LCM = 27481238100

Thus, we can understand that the LCM of 450,290,610,820,842 is 27481238100.

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

• LCM of 183, 301, 229, 605, 198
• LCM of 152, 208, 771, 235, 758
• LCM of 329, 273, 760, 411, 767
• LCM of 485, 173, 595, 575, 839
• LCM of 141, 873, 977, 943, 125

1. What is the LCM of 450, 290, 610, 820, 842?

Answer: LCM of 450, 290, 610, 820, 842 is 27481238100.

2. How to calculate the LCM of 450, 290, 610, 820, 842?

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 450, 290, 610, 820, 842.

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}.