Given numbers are 402,469,514,710

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

The LCM of 402,469,514,710 is 256735290.

Find LCM of 402,469,514,710 with Prime Factorization

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

2 x 67 x 3 x 7 x 257 x 355 = 256735290

Therefore, the lowest common multiple of 402,469,514,710 is 256735290.

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 469 x 514 x 710 = 68805057720

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

469 : 1, 7, 67, 469

514 : 1, 2, 257, 514

710 : 1, 2, 5, 10, 71, 142, 355, 710

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,469,514,710, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

469:7x 67

514:2x 257

710:2x 5x 71

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 = 68805057720/(1x268)

LCM = 68805057720/268

LCM = 256735290

Thus, we can understand that the LCM of 402,469,514,710 is 256735290.

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

• LCM of 607, 202, 748, 591
• LCM of 102, 222, 400, 372
• LCM of 184, 740, 692, 618
• LCM of 842, 520, 204, 296
• LCM of 118, 293, 460, 703

1. What is the LCM of 402, 469, 514, 710?

Answer: LCM of 402, 469, 514, 710 is 256735290.

2. How to calculate the LCM of 402, 469, 514, 710?

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, 469, 514, 710.

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}.