Given numbers are 336,202,426,363,138

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

The LCM of 336,202,426,363,138 is 6705516048.

Find LCM of 336,202,426,363,138 with Prime Factorization

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

2 x 3 x 56 x 101 x 71 x 121 x 23 = 6705516048

Therefore, the lowest common multiple of 336,202,426,363,138 is 6705516048.

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.

336 x 202 x 426 x 363 x 138 = 1448391466368

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

202 : 1, 2, 101, 202

426 : 1, 2, 3, 6, 71, 142, 213, 426

363 : 1, 3, 11, 33, 121, 363

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,202,426,363,138, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

202:2x 101

426:2x 3x 71

363:3x 11x 11

138:2x 3x 23

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 1448391466368/(1x216)

LCM = 1448391466368/216

LCM = 6705516048

Thus, we can understand that the LCM of 336,202,426,363,138 is 6705516048.

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

• LCM of 133, 184, 249, 460, 429
• LCM of 768, 743, 551, 115, 872
• LCM of 821, 369, 456, 172, 305
• LCM of 163, 213, 161, 814, 869
• LCM of 858, 385, 321, 840, 593

1. What is the LCM of 336, 202, 426, 363, 138?

Answer: LCM of 336, 202, 426, 363, 138 is 6705516048.

2. How to calculate the LCM of 336, 202, 426, 363, 138?

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 336, 202, 426, 363, 138.

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}.