Given numbers are 395,382,402,289

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

The LCM of 395,382,402,289 is 8765049210.

Find LCM of 395,382,402,289 with Prime Factorization

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

2 x 395 x 191 x 201 x 289 = 8765049210

Therefore, the lowest common multiple of 395,382,402,289 is 8765049210.

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.

395 x 382 x 402 x 289 = 17530098420

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.

395 : 1, 5, 79, 395

382 : 1, 2, 191, 382

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

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,382,402,289, is 1.

Now, the common factors can be found like this.

395:5x 79

382:2x 191

402:2x 3x 67

289:17x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 17530098420/(1x2)

LCM = 17530098420/2

LCM = 8765049210

Thus, we can understand that the LCM of 395,382,402,289 is 8765049210.

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

• LCM of 487, 398, 342, 132
• LCM of 405, 110, 310, 854
• LCM of 545, 264, 677, 259
• LCM of 205, 343, 357, 123
• LCM of 604, 235, 654, 586

1. What is the LCM of 395, 382, 402, 289?

Answer: LCM of 395, 382, 402, 289 is 8765049210.

2. How to calculate the LCM of 395, 382, 402, 289?

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 395, 382, 402, 289.

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}.