Given numbers are 454,492,314,218

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

The LCM of 454,492,314,218 is 1911248292.

Find LCM of 454,492,314,218 with Prime Factorization

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

2 x 227 x 246 x 157 x 109 = 1911248292

Therefore, the lowest common multiple of 454,492,314,218 is 1911248292.

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.

454 x 492 x 314 x 218 = 15289986336

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.

454 : 1, 2, 227, 454

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

314 : 1, 2, 157, 314

218 : 1, 2, 109, 218

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,492,314,218, is 2.

Now, the common factors can be found like this.

454:2x 227

492:2x 2x 3x 41

314:2x 157

218:2x 109

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15289986336/(2x4)

LCM = 15289986336/8

LCM = 1911248292

Thus, we can understand that the LCM of 454,492,314,218 is 1911248292.

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

• LCM of 325, 481, 512, 343
• LCM of 539, 359, 648, 718
• LCM of 102, 529, 568, 431
• LCM of 194, 140, 464, 431
• LCM of 992, 643, 606, 456

1. What is the LCM of 454, 492, 314, 218?

Answer: LCM of 454, 492, 314, 218 is 1911248292.

2. How to calculate the LCM of 454, 492, 314, 218?

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 454, 492, 314, 218.

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}.