Given numbers are 506,426,614,403

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

The LCM of 506,426,614,403 is 13334401938.

Find LCM of 506,426,614,403 with Prime Factorization

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

2 x 253 x 213 x 307 x 403 = 13334401938

Therefore, the lowest common multiple of 506,426,614,403 is 13334401938.

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.

506 x 426 x 614 x 403 = 53337607752

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

426 : 1, 2, 3, 6, 71, 142, 213, 426

614 : 1, 2, 307, 614

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,426,614,403, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

426:2x 3x 71

614:2x 307

403:13x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53337607752/(1x4)

LCM = 53337607752/4

LCM = 13334401938

Thus, we can understand that the LCM of 506,426,614,403 is 13334401938.

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

• LCM of 228, 451, 470, 697
• LCM of 604, 607, 221, 502
• LCM of 293, 624, 768, 136
• LCM of 347, 206, 706, 278
• LCM of 770, 645, 833, 117

1. What is the LCM of 506, 426, 614, 403?

Answer: LCM of 506, 426, 614, 403 is 13334401938.

2. How to calculate the LCM of 506, 426, 614, 403?

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 506, 426, 614, 403.

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}.