Given numbers are 302,264,702,708,226

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

The LCM of 302,264,702,708,226 is 31095474696.

Find LCM of 302,264,702,708,226 with Prime Factorization

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

2 x 2 x 3 x 151 x 22 x 117 x 59 x 113 = 31095474696

Therefore, the lowest common multiple of 302,264,702,708,226 is 31095474696.

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 264 x 702 x 708 x 226 = 8955496712448

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

226 : 1, 2, 113, 226

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,264,702,708,226, is 2.

Now, the common factors can be found like this.

302:2x 151

264:2x 2x 2x 3x 11

702:2x 3x 3x 3x 13

708:2x 2x 3x 59

226:2x 113

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 8955496712448/(2x144)

LCM = 8955496712448/288

LCM = 31095474696

Thus, we can understand that the LCM of 302,264,702,708,226 is 31095474696.

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

• LCM of 665, 947, 265, 755, 216
• LCM of 937, 912, 569, 965, 113
• LCM of 583, 998, 423, 258, 597
• LCM of 590, 748, 653, 426, 734
• LCM of 986, 691, 113, 636, 305

1. What is the LCM of 302, 264, 702, 708, 226?

Answer: LCM of 302, 264, 702, 708, 226 is 31095474696.

2. How to calculate the LCM of 302, 264, 702, 708, 226?

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, 264, 702, 708, 226.

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}.