Given numbers are 225,298,646,338

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

The LCM of 225,298,646,338 is 3660058350.

Find LCM of 225,298,646,338 with Prime Factorization

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

2 x 225 x 149 x 323 x 169 = 3660058350

Therefore, the lowest common multiple of 225,298,646,338 is 3660058350.

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.

225 x 298 x 646 x 338 = 14640233400

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

298 : 1, 2, 149, 298

646 : 1, 2, 17, 19, 34, 38, 323, 646

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,298,646,338, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

298:2x 149

646:2x 17x 19

338:2x 13x 13

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 = 14640233400/(1x4)

LCM = 14640233400/4

LCM = 3660058350

Thus, we can understand that the LCM of 225,298,646,338 is 3660058350.

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

• LCM of 665, 415, 500, 595
• LCM of 996, 447, 160, 786
• LCM of 324, 145, 377, 174
• LCM of 877, 618, 595, 589
• LCM of 565, 544, 639, 597

1. What is the LCM of 225, 298, 646, 338?

Answer: LCM of 225, 298, 646, 338 is 3660058350.

2. How to calculate the LCM of 225, 298, 646, 338?

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 225, 298, 646, 338.

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}.