Given numbers are 676,201,441,399,462

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

The LCM of 676,201,441,399,462 is 4174518348.

Find LCM of 676,201,441,399,462 with Prime Factorization

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

2 x 3 x 7 x 338 x 67 x 21 x 19 x 11 = 4174518348

Therefore, the lowest common multiple of 676,201,441,399,462 is 4174518348.

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.

676 x 201 x 441 x 399 x 462 = 11045775548808

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

201 : 1, 3, 67, 201

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

399 : 1, 3, 7, 19, 21, 57, 133, 399

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,201,441,399,462, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

201:3x 67

441:3x 3x 7x 7

399:3x 7x 19

462:2x 3x 7x 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 3x 3x 3x 7x 7 = 2646

Therefore, the value for common factors is 2646.

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 = 11045775548808/(1x2646)

LCM = 11045775548808/2646

LCM = 4174518348

Thus, we can understand that the LCM of 676,201,441,399,462 is 4174518348.

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

• LCM of 604, 609, 209, 473, 934
• LCM of 303, 775, 391, 789, 955
• LCM of 280, 158, 166, 253, 856
• LCM of 429, 110, 989, 360, 628
• LCM of 873, 540, 942, 489, 828

1. What is the LCM of 676, 201, 441, 399, 462?

Answer: LCM of 676, 201, 441, 399, 462 is 4174518348.

2. How to calculate the LCM of 676, 201, 441, 399, 462?

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 676, 201, 441, 399, 462.

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}.