Given numbers are 382,514,402,268

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

The LCM of 382,514,402,268 is 39465948.

Find LCM of 382,514,402,268 with Prime Factorization

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

2 x 67 x 191 x 257 x 3 x 2 = 39465948

Therefore, the lowest common multiple of 382,514,402,268 is 39465948.

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.

382 x 514 x 402 x 268 = 21153748128

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.

382 : 1, 2, 191, 382

514 : 1, 2, 257, 514

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

268 : 1, 2, 4, 67, 134, 268

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,514,402,268, is 2.

Now, the common factors can be found like this.

382:2x 191

514:2x 257

402:2x 3x 67

268:2x 2x 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 67 = 268

Therefore, the value for common factors is 268.

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 = 21153748128/(2x268)

LCM = 21153748128/536

LCM = 39465948

Thus, we can understand that the LCM of 382,514,402,268 is 39465948.

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

• LCM of 455, 634, 335, 314
• LCM of 789, 921, 122, 279
• LCM of 709, 804, 851, 243
• LCM of 731, 821, 902, 731
• LCM of 575, 121, 986, 773

1. What is the LCM of 382, 514, 402, 268?

Answer: LCM of 382, 514, 402, 268 is 39465948.

2. How to calculate the LCM of 382, 514, 402, 268?

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 382, 514, 402, 268.

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}.