Given numbers are 292,410,450,990

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

The LCM of 292,410,450,990 is 29630700.

Find LCM of 292,410,450,990 with Prime Factorization

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

2 x 3 x 3 x 5 x 146 x 41 x 5 x 11 = 29630700

Therefore, the lowest common multiple of 292,410,450,990 is 29630700.

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.

292 x 410 x 450 x 990 = 53335260000

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.

292 : 1, 2, 4, 73, 146, 292

410 : 1, 2, 5, 10, 41, 82, 205, 410

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,410,450,990, is 2.

Now, the common factors can be found like this.

292:2x 2x 73

410:2x 5x 41

450:2x 3x 3x 5x 5

990:2x 3x 3x 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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 53335260000/(2x900)

LCM = 53335260000/1800

LCM = 29630700

Thus, we can understand that the LCM of 292,410,450,990 is 29630700.

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

• LCM of 692, 517, 314, 144
• LCM of 693, 728, 178, 603
• LCM of 238, 803, 133, 368
• LCM of 756, 940, 188, 902
• LCM of 579, 979, 274, 553

1. What is the LCM of 292, 410, 450, 990?

Answer: LCM of 292, 410, 450, 990 is 29630700.

2. How to calculate the LCM of 292, 410, 450, 990?

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 292, 410, 450, 990.

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}.