Given numbers are 548,214,802,415,381

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

The LCM of 548,214,802,415,381 is 3717763687140.

Find LCM of 548,214,802,415,381 with Prime Factorization

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

2 x 274 x 107 x 401 x 415 x 381 = 3717763687140

Therefore, the lowest common multiple of 548,214,802,415,381 is 3717763687140.

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.

548 x 214 x 802 x 415 x 381 = 14871054748560

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.

548 : 1, 2, 4, 137, 274, 548

214 : 1, 2, 107, 214

802 : 1, 2, 401, 802

415 : 1, 5, 83, 415

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,214,802,415,381, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

214:2x 107

802:2x 401

415:5x 83

381:3x 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 = 14871054748560/(1x4)

LCM = 14871054748560/4

LCM = 3717763687140

Thus, we can understand that the LCM of 548,214,802,415,381 is 3717763687140.

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

• LCM of 859, 907, 855, 566, 300
• LCM of 137, 401, 815, 656, 986
• LCM of 842, 739, 483, 631, 788
• LCM of 380, 449, 884, 624, 373
• LCM of 487, 301, 987, 137, 111

1. What is the LCM of 548, 214, 802, 415, 381?

Answer: LCM of 548, 214, 802, 415, 381 is 3717763687140.

2. How to calculate the LCM of 548, 214, 802, 415, 381?

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 548, 214, 802, 415, 381.

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}.