Given numbers are 338,260,676,318,974

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

The LCM of 338,260,676,318,974 is 261723540.

Find LCM of 338,260,676,318,974 with Prime Factorization

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

2 x 2 x 13 x 13 x 1 x 5 x 1 x 159 x 487 = 261723540

Therefore, the lowest common multiple of 338,260,676,318,974 is 261723540.

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 260 x 676 x 318 x 974 = 18400211756160

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

318 : 1, 2, 3, 6, 53, 106, 159, 318

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,260,676,318,974, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

260:2x 2x 5x 13

676:2x 2x 13x 13

318:2x 3x 53

974:2x 487

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 13x 13x 13 = 35152

Therefore, the value for common factors is 35152.

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 = 18400211756160/(2x35152)

LCM = 18400211756160/70304

LCM = 261723540

Thus, we can understand that the LCM of 338,260,676,318,974 is 261723540.

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

• LCM of 175, 447, 783, 223, 988
• LCM of 938, 242, 761, 595, 570
• LCM of 193, 958, 142, 997, 645
• LCM of 366, 292, 308, 829, 362
• LCM of 736, 760, 539, 668, 565

1. What is the LCM of 338, 260, 676, 318, 974?

Answer: LCM of 338, 260, 676, 318, 974 is 261723540.

2. How to calculate the LCM of 338, 260, 676, 318, 974?

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, 260, 676, 318, 974.

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}.