Given numbers are 180,616,336,257,402

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

The LCM of 180,616,336,257,402 is 954621360.

Find LCM of 180,616,336,257,402 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 15 x 11 x 2 x 257 x 67 = 954621360

Therefore, the lowest common multiple of 180,616,336,257,402 is 954621360.

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.

180 x 616 x 336 x 257 x 402 = 3849033323520

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

257 : 1, 257

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,616,336,257,402, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

616:2x 2x 2x 7x 11

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

257:257

402:2x 3x 67

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 2x 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 3849033323520/(1x4032)

LCM = 3849033323520/4032

LCM = 954621360

Thus, we can understand that the LCM of 180,616,336,257,402 is 954621360.

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

• LCM of 451, 348, 377, 427, 747
• LCM of 232, 433, 421, 709, 968
• LCM of 640, 884, 547, 333, 664
• LCM of 126, 649, 685, 905, 985
• LCM of 402, 149, 111, 222, 224

1. What is the LCM of 180, 616, 336, 257, 402?

Answer: LCM of 180, 616, 336, 257, 402 is 954621360.

2. How to calculate the LCM of 180, 616, 336, 257, 402?

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 180, 616, 336, 257, 402.

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}.