Given numbers are 402,460,634,792,273

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

The LCM of 402,460,634,792,273 is 176034778920.

Find LCM of 402,460,634,792,273 with Prime Factorization

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

2 x 2 x 3 x 67 x 115 x 317 x 66 x 91 = 176034778920

Therefore, the lowest common multiple of 402,460,634,792,273 is 176034778920.

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.

402 x 460 x 634 x 792 x 273 = 25349008164480

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

634 : 1, 2, 317, 634

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,460,634,792,273, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

460:2x 2x 5x 23

634:2x 317

792:2x 2x 2x 3x 3x 11

273:3x 7x 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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 25349008164480/(1x144)

LCM = 25349008164480/144

LCM = 176034778920

Thus, we can understand that the LCM of 402,460,634,792,273 is 176034778920.

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

• LCM of 408, 998, 144, 884, 685
• LCM of 984, 533, 554, 166, 831
• LCM of 127, 350, 733, 526, 840
• LCM of 433, 634, 341, 461, 167
• LCM of 101, 104, 721, 411, 242

1. What is the LCM of 402, 460, 634, 792, 273?

Answer: LCM of 402, 460, 634, 792, 273 is 176034778920.

2. How to calculate the LCM of 402, 460, 634, 792, 273?

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 402, 460, 634, 792, 273.

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}.