Given numbers are 344,260,473,261,356

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

The LCM of 344,260,473,261,356 is 5713404840.

Find LCM of 344,260,473,261,356 with Prime Factorization

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

2 x 2 x 43 x 2 x 65 x 11 x 261 x 89 = 5713404840

Therefore, the lowest common multiple of 344,260,473,261,356 is 5713404840.

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.

344 x 260 x 473 x 261 x 356 = 3930822529920

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

473 : 1, 11, 43, 473

261 : 1, 3, 9, 29, 87, 261

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,260,473,261,356, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

260:2x 2x 5x 13

473:11x 43

261:3x 3x 29

356:2x 2x 89

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 43 = 688

Therefore, the value for common factors is 688.

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 = 3930822529920/(1x688)

LCM = 3930822529920/688

LCM = 5713404840

Thus, we can understand that the LCM of 344,260,473,261,356 is 5713404840.

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

• LCM of 511, 521, 799, 630, 810
• LCM of 624, 721, 413, 567, 598
• LCM of 355, 820, 939, 623, 572
• LCM of 419, 584, 815, 472, 965
• LCM of 481, 445, 184, 378, 719

1. What is the LCM of 344, 260, 473, 261, 356?

Answer: LCM of 344, 260, 473, 261, 356 is 5713404840.

2. How to calculate the LCM of 344, 260, 473, 261, 356?

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 344, 260, 473, 261, 356.

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}.