Given numbers are 402,402,540,418,586

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

The LCM of 402,402,540,418,586 is 2215554660.

Find LCM of 402,402,540,418,586 with Prime Factorization

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

2 x 3 x 67 x 1 x 1 x 90 x 209 x 293 = 2215554660

Therefore, the lowest common multiple of 402,402,540,418,586 is 2215554660.

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 402 x 540 x 418 x 586 = 21375671359680

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

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

418 : 1, 2, 11, 19, 22, 38, 209, 418

586 : 1, 2, 293, 586

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,402,540,418,586, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

402:2x 3x 67

540:2x 2x 3x 3x 3x 5

418:2x 11x 19

586:2x 293

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 3x 3x 67 = 4824

Therefore, the value for common factors is 4824.

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 = 21375671359680/(2x4824)

LCM = 21375671359680/9648

LCM = 2215554660

Thus, we can understand that the LCM of 402,402,540,418,586 is 2215554660.

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

• LCM of 896, 227, 827, 754, 472
• LCM of 254, 539, 711, 853, 456
• LCM of 992, 295, 728, 234, 473
• LCM of 572, 159, 870, 838, 544
• LCM of 684, 500, 130, 844, 327

1. What is the LCM of 402, 402, 540, 418, 586?

Answer: LCM of 402, 402, 540, 418, 586 is 2215554660.

2. How to calculate the LCM of 402, 402, 540, 418, 586?

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, 402, 540, 418, 586.

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}.