Given numbers are 502,676,414,402

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

The LCM of 502,676,414,402 is 2353236444.

Find LCM of 502,676,414,402 with Prime Factorization

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

2 x 3 x 251 x 338 x 69 x 67 = 2353236444

Therefore, the lowest common multiple of 502,676,414,402 is 2353236444.

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.

502 x 676 x 414 x 402 = 56477674656

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.

502 : 1, 2, 251, 502

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,676,414,402, is 2.

Now, the common factors can be found like this.

502:2x 251

676:2x 2x 13x 13

414:2x 3x 3x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 56477674656/(2x12)

LCM = 56477674656/24

LCM = 2353236444

Thus, we can understand that the LCM of 502,676,414,402 is 2353236444.

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

• LCM of 196, 858, 610, 933
• LCM of 457, 481, 115, 965
• LCM of 124, 547, 817, 953
• LCM of 111, 515, 164, 791
• LCM of 322, 189, 751, 437

1. What is the LCM of 502, 676, 414, 402?

Answer: LCM of 502, 676, 414, 402 is 2353236444.

2. How to calculate the LCM of 502, 676, 414, 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 502, 676, 414, 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}.