Given numbers are 426,396,297,938,173

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

The LCM of 426,396,297,938,173 is 6843743676.

Find LCM of 426,396,297,938,173 with Prime Factorization

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

2 x 3 x 3 x 11 x 71 x 2 x 3 x 469 x 173 = 6843743676

Therefore, the lowest common multiple of 426,396,297,938,173 is 6843743676.

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.

426 x 396 x 297 x 938 x 173 = 8130367487088

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.

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

297 : 1, 3, 9, 11, 27, 33, 99, 297

938 : 1, 2, 7, 14, 67, 134, 469, 938

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,396,297,938,173, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

396:2x 2x 3x 3x 11

297:3x 3x 3x 11

938:2x 7x 67

173:173

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 3x 3x 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 8130367487088/(1x1188)

LCM = 8130367487088/1188

LCM = 6843743676

Thus, we can understand that the LCM of 426,396,297,938,173 is 6843743676.

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

• LCM of 535, 162, 866, 121, 970
• LCM of 949, 870, 689, 934, 246
• LCM of 104, 690, 883, 802, 777
• LCM of 121, 429, 482, 174, 272
• LCM of 392, 116, 344, 721, 493

1. What is the LCM of 426, 396, 297, 938, 173?

Answer: LCM of 426, 396, 297, 938, 173 is 6843743676.

2. How to calculate the LCM of 426, 396, 297, 938, 173?

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 426, 396, 297, 938, 173.

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}.