Given numbers are 821,979,268,421,450

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

The LCM of 821,979,268,421,450 is 20404467101700.

Find LCM of 821,979,268,421,450 with Prime Factorization

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

2 x 821 x 979 x 134 x 421 x 225 = 20404467101700

Therefore, the lowest common multiple of 821,979,268,421,450 is 20404467101700.

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.

821 x 979 x 268 x 421 x 450 = 40808934203400

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.

821 : 1, 821

979 : 1, 11, 89, 979

268 : 1, 2, 4, 67, 134, 268

421 : 1, 421

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,979,268,421,450, is 1.

Now, the common factors can be found like this.

821:821

979:11x 89

268:2x 2x 67

421:421

450:2x 3x 3x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 40808934203400/(1x2)

LCM = 40808934203400/2

LCM = 20404467101700

Thus, we can understand that the LCM of 821,979,268,421,450 is 20404467101700.

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

• LCM of 531, 976, 831, 393, 350
• LCM of 528, 164, 640, 166, 846
• LCM of 498, 991, 236, 143, 180
• LCM of 259, 818, 107, 361, 517
• LCM of 979, 135, 937, 619, 350

1. What is the LCM of 821, 979, 268, 421, 450?

Answer: LCM of 821, 979, 268, 421, 450 is 20404467101700.

2. How to calculate the LCM of 821, 979, 268, 421, 450?

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 821, 979, 268, 421, 450.

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}.