Given numbers are 302,228,268,583

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

The LCM of 302,228,268,583 is 1344792108.

Find LCM of 302,228,268,583 with Prime Factorization

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

2 x 2 x 151 x 57 x 67 x 583 = 1344792108

Therefore, the lowest common multiple of 302,228,268,583 is 1344792108.

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.

302 x 228 x 268 x 583 = 10758336864

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.

302 : 1, 2, 151, 302

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

583 : 1, 11, 53, 583

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,228,268,583, is 1.

Now, the common factors can be found like this.

302:2x 151

228:2x 2x 3x 19

268:2x 2x 67

583:11x 53

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 2 = 8

Therefore, the value for common factors is 8.

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 = 10758336864/(1x8)

LCM = 10758336864/8

LCM = 1344792108

Thus, we can understand that the LCM of 302,228,268,583 is 1344792108.

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

• LCM of 588, 695, 229, 577
• LCM of 658, 351, 216, 823
• LCM of 356, 672, 169, 272
• LCM of 746, 695, 737, 299
• LCM of 616, 942, 752, 386

1. What is the LCM of 302, 228, 268, 583?

Answer: LCM of 302, 228, 268, 583 is 1344792108.

2. How to calculate the LCM of 302, 228, 268, 583?

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 302, 228, 268, 583.

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}.