Given numbers are 338,264,786,908,402

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

The LCM of 338,264,786,908,402 is 88891981464.

Find LCM of 338,264,786,908,402 with Prime Factorization

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

2 x 2 x 3 x 169 x 22 x 131 x 227 x 67 = 88891981464

Therefore, the lowest common multiple of 338,264,786,908,402 is 88891981464.

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.

338 x 264 x 786 x 908 x 402 = 25600890661632

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.

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

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

786 : 1, 2, 3, 6, 131, 262, 393, 786

908 : 1, 2, 4, 227, 454, 908

402 : 1, 2, 3, 6, 67, 134, 201, 402

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,264,786,908,402, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

264:2x 2x 2x 3x 11

786:2x 3x 131

908:2x 2x 227

402:2x 3x 67

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 = 25600890661632/(2x144)

LCM = 25600890661632/288

LCM = 88891981464

Thus, we can understand that the LCM of 338,264,786,908,402 is 88891981464.

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

• LCM of 554, 278, 299, 977, 178
• LCM of 574, 796, 633, 530, 431
• LCM of 549, 697, 623, 713, 197
• LCM of 856, 257, 736, 213, 360
• LCM of 566, 825, 956, 100, 991

1. What is the LCM of 338, 264, 786, 908, 402?

Answer: LCM of 338, 264, 786, 908, 402 is 88891981464.

2. How to calculate the LCM of 338, 264, 786, 908, 402?

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 338, 264, 786, 908, 402.

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}.