Given numbers are 526,355,136,936,338

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

The LCM of 526,355,136,936,338 is 19313110440.

Find LCM of 526,355,136,936,338 with Prime Factorization

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

2 x 2 x 2 x 13 x 263 x 355 x 17 x 9 x 13 = 19313110440

Therefore, the lowest common multiple of 526,355,136,936,338 is 19313110440.

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.

526 x 355 x 136 x 936 x 338 = 8034253943040

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.

526 : 1, 2, 263, 526

355 : 1, 5, 71, 355

136 : 1, 2, 4, 8, 17, 34, 68, 136

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,355,136,936,338, is 1.

Now, the common factors can be found like this.

526:2x 263

355:5x 71

136:2x 2x 2x 17

936:2x 2x 2x 3x 3x 13

338:2x 13x 13

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 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 8034253943040/(1x416)

LCM = 8034253943040/416

LCM = 19313110440

Thus, we can understand that the LCM of 526,355,136,936,338 is 19313110440.

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

• LCM of 838, 231, 403, 789, 841
• LCM of 231, 317, 849, 857, 898
• LCM of 592, 741, 826, 829, 150
• LCM of 571, 536, 840, 843, 245
• LCM of 623, 904, 361, 996, 490

1. What is the LCM of 526, 355, 136, 936, 338?

Answer: LCM of 526, 355, 136, 936, 338 is 19313110440.

2. How to calculate the LCM of 526, 355, 136, 936, 338?

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 526, 355, 136, 936, 338.

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}.