Given numbers are 302,729,192,474,759

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

The LCM of 302,729,192,474,759 is 140809534272.

Find LCM of 302,729,192,474,759 with Prime Factorization

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

2 x 3 x 151 x 243 x 32 x 79 x 253 = 140809534272

Therefore, the lowest common multiple of 302,729,192,474,759 is 140809534272.

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 729 x 192 x 474 x 759 = 15207429701376

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

729 : 1, 3, 9, 27, 81, 243, 729

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

474 : 1, 2, 3, 6, 79, 158, 237, 474

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,729,192,474,759, is 1.

Now, the common factors can be found like this.

302:2x 151

729:3x 3x 3x 3x 3x 3

192:2x 2x 2x 2x 2x 2x 3

474:2x 3x 79

759:3x 11x 23

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 15207429701376/(1x108)

LCM = 15207429701376/108

LCM = 140809534272

Thus, we can understand that the LCM of 302,729,192,474,759 is 140809534272.

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

• LCM of 299, 874, 393, 421, 198
• LCM of 645, 851, 890, 742, 230
• LCM of 273, 733, 581, 471, 159
• LCM of 260, 187, 738, 165, 182
• LCM of 370, 748, 464, 727, 834

1. What is the LCM of 302, 729, 192, 474, 759?

Answer: LCM of 302, 729, 192, 474, 759 is 140809534272.

2. How to calculate the LCM of 302, 729, 192, 474, 759?

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, 729, 192, 474, 759.

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}.