Given numbers are 346,438,745,508

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

The LCM of 346,438,745,508 is 14338714020.

Find LCM of 346,438,745,508 with Prime Factorization

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

2 x 173 x 219 x 745 x 254 = 14338714020

Therefore, the lowest common multiple of 346,438,745,508 is 14338714020.

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.

346 x 438 x 745 x 508 = 57354856080

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.

346 : 1, 2, 173, 346

438 : 1, 2, 3, 6, 73, 146, 219, 438

745 : 1, 5, 149, 745

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,438,745,508, is 1.

Now, the common factors can be found like this.

346:2x 173

438:2x 3x 73

745:5x 149

508:2x 2x 127

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 = 57354856080/(1x4)

LCM = 57354856080/4

LCM = 14338714020

Thus, we can understand that the LCM of 346,438,745,508 is 14338714020.

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

• LCM of 437, 260, 734, 449
• LCM of 146, 713, 977, 890
• LCM of 724, 733, 289, 593
• LCM of 664, 283, 296, 328
• LCM of 953, 165, 806, 839

1. What is the LCM of 346, 438, 745, 508?

Answer: LCM of 346, 438, 745, 508 is 14338714020.

2. How to calculate the LCM of 346, 438, 745, 508?

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 346, 438, 745, 508.

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}.